157004657449920 has 3136 divisors, whose sum is σ = 688970208706560. Its totient is φ = 33268490035200.

The previous prime is 157004657449883. The next prime is 157004657449931. The reversal of 157004657449920 is 29944756400751.

157004657449920 is a `hidden beast` number, since 1 + 5 + 70 + 0 + 4 + 6 + 5 + 74 + 499 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 579352979385 + ... + 579352979655.

Almost surely, 2^{157004657449920} is an apocalyptic number.

157004657449920 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 157004657449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344485104353280).

157004657449920 is an abundant number, since it is smaller than the sum of its proper divisors (531965551256640).

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

157004657449920 is a wasteful number, since it uses less digits than its factorization.

157004657449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 157004657449920 in words is "one hundred fifty-seven trillion, four billion, six hundred fifty-seven million, four hundred forty-nine thousand, nine hundred twenty".