157087641600 has 936 divisors, whose sum is σ = 598928541120. Its totient is φ = 40795176960.

The previous prime is 157087641563. The next prime is 157087641629. The reversal of 157087641600 is 6146780751.

157087641600 is a `hidden beast` number, since 1 + 570 + 8 + 7 + 64 + 16 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1468108747 + ... + 1468108853.

It is an arithmetic number, because the mean of its divisors is an integer number (639880920).

Almost surely, 2^157087641600 is an apocalyptic number.

157087641600 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 157087641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299464270560).

157087641600 is an abundant number, since it is smaller than the sum of its proper divisors (441840899520).

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

157087641600 is an equidigital number, since it uses as much as digits as its factorization.

157087641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 157087641600 in words is "one hundred fifty-seven billion, eighty-seven million, six hundred forty-one thousand, six hundred".