157212057600 has 924 divisors, whose sum is σ = 629773693206. Its totient is φ = 38698352640.

The previous prime is 157212057551. The next prime is 157212057601. The reversal of 157212057600 is 6750212751.

157212057600 is a `hidden beast` number, since 1 + 5 + 7 + 21 + 20 + 5 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 87313158144 + 69898899456 = 295488^2 + 264384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (157212057601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 12093235194 + ... + 12093235206.

Almost surely, 2^157212057600 is an apocalyptic number.

157212057600 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 157212057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314886846603).

157212057600 is an abundant number, since it is smaller than the sum of its proper divisors (472561635606).

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

157212057600 is an frugal number, since it uses more digits than its factorization.

157212057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 157212057600 in words is "one hundred fifty-seven billion, two hundred twelve million, fifty-seven thousand, six hundred".