10537415280 has 320 divisors, whose sum is σ = 41791610880. Its totient is φ = 2390501376.

The previous prime is 10537415191. The next prime is 10537415311. The reversal of 10537415280 is 8251473501.

10537415280 is a `hidden beast` number, since 1 + 0 + 5 + 374 + 1 + 5 + 280 = 666.

It is a super-2 number, since 2×10537415280² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2068897 + ... + 2073983.

It is an arithmetic number, because the mean of its divisors is an integer number (130598784).

Almost surely, 2^10537415280 is an apocalyptic number.

10537415280 is a gapful number since it is divisible by the number (10) 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 10537415280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20895805440).

10537415280 is an abundant number, since it is smaller than the sum of its proper divisors (31254195600).

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

10537415280 is a wasteful number, since it uses less digits than its factorization.

10537415280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 10537415280 its reverse (8251473501), we get a palindrome (18788888781).

The spelling of 10537415280 in words is "ten billion, five hundred thirty-seven million, four hundred fifteen thousand, two hundred eighty".