10157640752800 has 144 divisors (see below), whose sum is σ = 26492055337440. Its totient is φ = 3791759938560.

The previous prime is 10157640752773. The next prime is 10157640752807. The reversal of 10157640752800 is 825704675101.

It is not an unprimeable number, because it can be changed into a prime (10157640752807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3968659 + ... + 6005458.

It is an arithmetic number, because the mean of its divisors is an integer number (183972606510).

Almost surely, 2^{10157640752800} is an apocalyptic number.

10157640752800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10157640752800 is an abundant number, since it is smaller than the sum of its proper divisors (16334414584640).

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

10157640752800 is a wasteful number, since it uses less digits than its factorization.

10157640752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9974223 (or 9974210 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 46.

The spelling of 10157640752800 in words is "ten trillion, one hundred fifty-seven billion, six hundred forty million, seven hundred fifty-two thousand, eight hundred".