10537257192448 has 132 divisors (see below), whose sum is σ = 24512060601072. Its totient is φ = 4514349342720.

The previous prime is 10537257192419. The next prime is 10537257192463. The reversal of 10537257192448 is 84429175273501.

It is a super-2 number, since 2×10537257192448² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10537257192392 and 10537257192401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145624758 + ... + 145697098.

It is an arithmetic number, because the mean of its divisors is an integer number (185697428796).

Almost surely, 2^{10537257192448} 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 10537257192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12256030300536).

10537257192448 is an abundant number, since it is smaller than the sum of its proper divisors (13974803408624).

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

10537257192448 is an equidigital number, since it uses as much as digits as its factorization.

10537257192448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75278 (or 75253 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 58.

The spelling of 10537257192448 in words is "ten trillion, five hundred thirty-seven billion, two hundred fifty-seven million, one hundred ninety-two thousand, four hundred forty-eight".