10157051718144 has 800 divisors, whose sum is σ = 32832123698880. Its totient is φ = 3116188827648.

The previous prime is 10157051718083. The next prime is 10157051718161. The reversal of 10157051718144 is 44181715075101.

10157051718144 is a `hidden beast` number, since 1 + 0 + 1 + 57 + 0 + 517 + 1 + 81 + 4 + 4 = 666.

10157051718144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10157051718144.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4468565392 + ... + 4468567664.

Almost surely, 2^{10157051718144} 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 10157051718144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416061849440).

10157051718144 is an abundant number, since it is smaller than the sum of its proper divisors (22675071980736).

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

10157051718144 is a wasteful number, since it uses less digits than its factorization.

10157051718144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 45.

The spelling of 10157051718144 in words is "ten trillion, one hundred fifty-seven billion, fifty-one million, seven hundred eighteen thousand, one hundred forty-four".