157768405388200 has 96 divisors (see below), whose sum is σ = 388480828102200. Its totient is φ = 59381074288640.

The previous prime is 157768405388177. The next prime is 157768405388207. The reversal of 157768405388200 is 2883504867751.

157768405388200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 23815512652996 + 133952892735204 = 4880114^2 + 11573802^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (157768405388207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8835966 + ... + 19839634.

Almost surely, 2^{157768405388200} is an apocalyptic number.

157768405388200 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 157768405388200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194240414051100).

157768405388200 is an abundant number, since it is smaller than the sum of its proper divisors (230712422714000).

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

157768405388200 is a wasteful number, since it uses less digits than its factorization.

157768405388200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11007919 (or 11007910 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 64.

The spelling of 157768405388200 in words is "one hundred fifty-seven trillion, seven hundred sixty-eight billion, four hundred five million, three hundred eighty-eight thousand, two hundred".