157905475392 has 336 divisors, whose sum is σ = 514255552640. Its totient is φ = 41872785408.

The previous prime is 157905475391. The next prime is 157905475393. The reversal of 157905475392 is 293574509751.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (157905475391) and next prime (157905475393).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157905475391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28351584 + ... + 28357152.

Almost surely, 2^157905475392 is an apocalyptic number.

157905475392 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 157905475392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257127776320).

157905475392 is an abundant number, since it is smaller than the sum of its proper divisors (356350077248).

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

157905475392 is a wasteful number, since it uses less digits than its factorization.

157905475392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 57.

The spelling of 157905475392 in words is "one hundred fifty-seven billion, nine hundred five million, four hundred seventy-five thousand, three hundred ninety-two".