10437916407552 has 144 divisors (see below), whose sum is σ = 30871513120000. Its totient is φ = 3478769150976.

The previous prime is 10437916407547. The next prime is 10437916407557. The reversal of 10437916407552 is 25570461973401.

10437916407552 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 79 + 16 + 4 + 0 + 7 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (10437916407547) and next prime (10437916407557).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×10437916407552³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10437916407557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46052199 + ... + 46278297.

Almost surely, 2^{10437916407552} is an apocalyptic number.

10437916407552 is a gapful number since it is divisible by the number (12) 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 10437916407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15435756560000).

10437916407552 is an abundant number, since it is smaller than the sum of its proper divisors (20433596712448).

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

10437916407552 is an equidigital number, since it uses as much as digits as its factorization.

10437916407552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232803 (or 232783 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 10437916407552 in words is "ten trillion, four hundred thirty-seven billion, nine hundred sixteen million, four hundred seven thousand, five hundred fifty-two".