10537305408 has 168 divisors, whose sum is σ = 34854538368. Its totient is φ = 2981311488.

The previous prime is 10537305403. The next prime is 10537305413. The reversal of 10537305408 is 80450373501.

10537305408 is a `hidden beast` number, since 105 + 3 + 7 + 3 + 0 + 540 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10537305403) and next prime (10537305413).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10537305408² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10537305403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402610 + ... + 427982.

Almost surely, 2^10537305408 is an apocalyptic number.

10537305408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10537305408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427269184).

10537305408 is an abundant number, since it is smaller than the sum of its proper divisors (24317232960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10537305408 is a wasteful number, since it uses less digits than its factorization.

10537305408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25501 (or 25488 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 10537305408 its reverse (80450373501), we get a palindrome (90987678909).

The spelling of 10537305408 in words is "ten billion, five hundred thirty-seven million, three hundred five thousand, four hundred eight".