157160201568 has 96 divisors (see below), whose sum is σ = 422753621472. Its totient is φ = 51091353600.

The previous prime is 157160201557. The next prime is 157160201573. The reversal of 157160201568 is 865102061751.

157160201568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16262658 + ... + 16272318.

It is an arithmetic number, because the mean of its divisors is an integer number (4403683557).

Almost surely, 2^157160201568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157160201568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211376810736).

157160201568 is an abundant number, since it is smaller than the sum of its proper divisors (265593419904).

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

157160201568 is a wasteful number, since it uses less digits than its factorization.

157160201568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13848 (or 13840 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 157160201568 in words is "one hundred fifty-seven billion, one hundred sixty million, two hundred one thousand, five hundred sixty-eight".