157954292496 has 1080 divisors, whose sum is σ = 615196458240. Its totient is φ = 37006295040.

The previous prime is 157954292453. The next prime is 157954292513. The reversal of 157954292496 is 694292459751.

157954292496 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 54 + 2 + 92 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1628394720 + ... + 1628394816.

Almost surely, 2^157954292496 is an apocalyptic number.

157954292496 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 157954292496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307598229120).

157954292496 is an abundant number, since it is smaller than the sum of its proper divisors (457242165744).

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

157954292496 is a wasteful number, since it uses less digits than its factorization.

157954292496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 212 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 157954292496 in words is "one hundred fifty-seven billion, nine hundred fifty-four million, two hundred ninety-two thousand, four hundred ninety-six".