157109932800 has 540 divisors, whose sum is σ = 596680032256. Its totient is φ = 40758681600.

The previous prime is 157109932799. The next prime is 157109932807. The reversal of 157109932800 is 8239901751.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (157109932807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19176705 + ... + 19184895.

Almost surely, 2^157109932800 is an apocalyptic number.

157109932800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157109932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298340016128).

157109932800 is an abundant number, since it is smaller than the sum of its proper divisors (439570099456).

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

157109932800 is an equidigital number, since it uses as much as digits as its factorization.

157109932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 157109932800 in words is "one hundred fifty-seven billion, one hundred nine million, nine hundred thirty-two thousand, eight hundred".