10157269728996 has 120 divisors (see below), whose sum is σ = 28619640020664. Its totient is φ = 3122692508160.

The previous prime is 10157269728979. The next prime is 10157269729007. The reversal of 10157269728996 is 69982796275101.

10157269728996 is a `hidden beast` number, since 1 + 0 + 157 + 26 + 97 + 289 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2025156686400 + 8132113042596 = 1423080^2 + 2851686^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4014226 + ... + 6035606.

Almost surely, 2^{10157269728996} 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 10157269728996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309820010332).

10157269728996 is an abundant number, since it is smaller than the sum of its proper divisors (18462370291668).

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

10157269728996 is a wasteful number, since it uses less digits than its factorization.

10157269728996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022603 (or 2022592 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 10157269728996 in words is "ten trillion, one hundred fifty-seven billion, two hundred sixty-nine million, seven hundred twenty-eight thousand, nine hundred ninety-six".