157624505856 has 480 divisors, whose sum is σ = 491531040000. Its totient is φ = 48480436224.

The previous prime is 157624505839. The next prime is 157624505917. The reversal of 157624505856 is 658505426751.

157624505856 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 2 + 4 + 50 + 585 + 6 = 666.

157624505856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 792082845 + ... + 792083043.

It is an arithmetic number, because the mean of its divisors is an integer number (1024023000).

Almost surely, 2^157624505856 is an apocalyptic number.

157624505856 is a gapful number since it is divisible by the number (16) 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 157624505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245765520000).

157624505856 is an abundant number, since it is smaller than the sum of its proper divisors (333906534144).

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

157624505856 is a wasteful number, since it uses less digits than its factorization.

157624505856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 157624505856 in words is "one hundred fifty-seven billion, six hundred twenty-four million, five hundred five thousand, eight hundred fifty-six".