157072756504576 has 192 divisors, whose sum is σ = 354059840534400. Its totient is φ = 69045817344000.

The previous prime is 157072756504567. The next prime is 157072756504589. The reversal of 157072756504576 is 675405657270751.

157072756504576 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 15 ways as a sum of consecutive naturals, for example, 97036395 + ... + 98641813.

It is an arithmetic number, because the mean of its divisors is an integer number (1844061669450).

Almost surely, 2^{157072756504576} is an apocalyptic number.

157072756504576 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 157072756504576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177029920267200).

157072756504576 is an abundant number, since it is smaller than the sum of its proper divisors (196987084029824).

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

157072756504576 is a wasteful number, since it uses less digits than its factorization.

157072756504576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605596 (or 1605576 counting only the distinct ones).

The product of its (nonzero) digits is 432180000, while the sum is 67.

The spelling of 157072756504576 in words is "one hundred fifty-seven trillion, seventy-two billion, seven hundred fifty-six million, five hundred four thousand, five hundred seventy-six".