157977630720 has 2160 divisors, whose sum is σ = 744265201680. Its totient is φ = 31882346496.

The previous prime is 157977630683. The next prime is 157977630721. The reversal of 157977630720 is 27036779751.

157977630720 is a `hidden beast` number, since 1 + 579 + 7 + 7 + 63 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157977630721) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6868592629 + ... + 6868592651.

It is an arithmetic number, because the mean of its divisors is an integer number (344567223).

Almost surely, 2^157977630720 is an apocalyptic number.

157977630720 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 157977630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372132600840).

157977630720 is an abundant number, since it is smaller than the sum of its proper divisors (586287570960).

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

157977630720 is a wasteful number, since it uses less digits than its factorization.

157977630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 157977630720 in words is "one hundred fifty-seven billion, nine hundred seventy-seven million, six hundred thirty thousand, seven hundred twenty".