157070695680 has 648 divisors, whose sum is σ = 579493867680. Its totient is φ = 39272325120.

The previous prime is 157070695667. The next prime is 157070695697. The reversal of 157070695680 is 86596070751.

157070695680 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 70 + 6 + 9 + 568 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 744410775 + ... + 744410985.

It is an arithmetic number, because the mean of its divisors is an integer number (894280660).

Almost surely, 2^157070695680 is an apocalyptic number.

157070695680 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 157070695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289746933840).

157070695680 is an abundant number, since it is smaller than the sum of its proper divisors (422423172000).

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

157070695680 is a wasteful number, since it uses less digits than its factorization.

157070695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 157070695680 in words is "one hundred fifty-seven billion, seventy million, six hundred ninety-five thousand, six hundred eighty".