10537257192392 has 128 divisors (see below), whose sum is σ = 23949085501440. Its totient is φ = 4243035571200.

The previous prime is 10537257192389. The next prime is 10537257192419. The reversal of 10537257192392 is 29329175273501.

10537257192392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10537257192392² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2265587267 + ... + 2265591917.

It is an arithmetic number, because the mean of its divisors is an integer number (187102230480).

Almost surely, 2^{10537257192392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10537257192392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974542750720).

10537257192392 is an abundant number, since it is smaller than the sum of its proper divisors (13411828309048).

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

10537257192392 is a wasteful number, since it uses less digits than its factorization.

10537257192392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 56.

The spelling of 10537257192392 in words is "ten trillion, five hundred thirty-seven billion, two hundred fifty-seven million, one hundred ninety-two thousand, three hundred ninety-two".