157575475668 has 192 divisors, whose sum is σ = 415276646400. Its totient is φ = 46169948160.

The previous prime is 157575475637. The next prime is 157575475669. The reversal of 157575475668 is 866574575751.

Its product of digits (246960000) is a multiple of the sum of its prime divisors (1680).

It is a junction number, because it is equal to n+sod(n) for n = 157575475599 and 157575475608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157575475669) 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, 123201453 + ... + 123202731.

It is an arithmetic number, because the mean of its divisors is an integer number (2162899200).

Almost surely, 2^157575475668 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 157575475668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207638323200).

157575475668 is an abundant number, since it is smaller than the sum of its proper divisors (257701170732).

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

157575475668 is a wasteful number, since it uses less digits than its factorization.

157575475668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1680 counting only the distinct ones).

The product of its digits is 246960000, while the sum is 66.

The spelling of 157575475668 in words is "one hundred fifty-seven billion, five hundred seventy-five million, four hundred seventy-five thousand, six hundred sixty-eight".