157903910364672 has 480 divisors, whose sum is σ = 480169651104000. Its totient is φ = 49880848711680.

The previous prime is 157903910364659. The next prime is 157903910364689. The reversal of 157903910364672 is 276463019309751.

It is a happy number.

157903910364672 is a `hidden beast` number, since 1 + 57 + 9 + 0 + 3 + 91 + 0 + 36 + 467 + 2 = 666.

157903910364672 is digitally balanced in base 2, 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, 5195730597 + ... + 5195760987.

It is an arithmetic number, because the mean of its divisors is an integer number (1000353439800).

Almost surely, 2^{157903910364672} is an apocalyptic number.

157903910364672 is a gapful number since it is divisible by the number (12) 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 157903910364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240084825552000).

157903910364672 is an abundant number, since it is smaller than the sum of its proper divisors (322265740739328).

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

157903910364672 is a wasteful number, since it uses less digits than its factorization.

157903910364672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31162 (or 31143 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 157903910364672 in words is "one hundred fifty-seven trillion, nine hundred three billion, nine hundred ten million, three hundred sixty-four thousand, six hundred seventy-two".