157671261600 has 288 divisors, whose sum is σ = 520644801600. Its totient is φ = 41441280000.

The previous prime is 157671261593. The next prime is 157671261637. The reversal of 157671261600 is 6162176751.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58417051 + ... + 58419749.

It is an arithmetic number, because the mean of its divisors is an integer number (1807794450).

Almost surely, 2^157671261600 is an apocalyptic number.

157671261600 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 157671261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260322400800).

157671261600 is an abundant number, since it is smaller than the sum of its proper divisors (362973540000).

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

157671261600 is a wasteful number, since it uses less digits than its factorization.

157671261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 157671261600 in words is "one hundred fifty-seven billion, six hundred seventy-one million, two hundred sixty-one thousand, six hundred".