157935016668 has 192 divisors, whose sum is σ = 446787048960. Its totient is φ = 42776294400.

The previous prime is 157935016639. The next prime is 157935016669. The reversal of 157935016668 is 866610539751.

157935016668 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 not an unprimeable number, because it can be changed into a prime (157935016669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13390918 + ... + 13402706.

It is an arithmetic number, because the mean of its divisors is an integer number (2327015880).

Almost surely, 2^157935016668 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 157935016668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223393524480).

157935016668 is an abundant number, since it is smaller than the sum of its proper divisors (288852032292).

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

157935016668 is a wasteful number, since it uses less digits than its factorization.

157935016668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12068 (or 12066 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 157935016668 in words is "one hundred fifty-seven billion, nine hundred thirty-five million, sixteen thousand, six hundred sixty-eight".