157409958977600 has 672 divisors, whose sum is σ = 466211351040000. Its totient is φ = 52261820835840.

The previous prime is 157409958977599. The next prime is 157409958977657. The reversal of 157409958977600 is 6779859904751.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2169370121 + ... + 2169442679.

Almost surely, 2^{157409958977600} is an apocalyptic number.

157409958977600 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 157409958977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233105675520000).

157409958977600 is an abundant number, since it is smaller than the sum of its proper divisors (308801392062400).

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

157409958977600 is an equidigital number, since it uses as much as digits as its factorization.

157409958977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72728 (or 72699 counting only the distinct ones).

The product of its (nonzero) digits is 1200225600, while the sum is 77.

The spelling of 157409958977600 in words is "one hundred fifty-seven trillion, four hundred nine billion, nine hundred fifty-eight million, nine hundred seventy-seven thousand, six hundred".