157083359940 has 672 divisors, whose sum is σ = 571937345280. Its totient is φ = 35896753152.

The previous prime is 157083359903. The next prime is 157083359941. The reversal of 157083359940 is 49953380751.

157083359940 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 8 + 3 + 3 + 599 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (157083359941) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 190866369 + ... + 190867191.

It is an arithmetic number, because the mean of its divisors is an integer number (851097240).

Almost surely, 2^157083359940 is an apocalyptic number.

157083359940 is a gapful number since it is divisible by the number (10) 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 157083359940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285968672640).

157083359940 is an abundant number, since it is smaller than the sum of its proper divisors (414853985340).

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

157083359940 is a wasteful number, since it uses less digits than its factorization.

157083359940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 157083359940 in words is "one hundred fifty-seven billion, eighty-three million, three hundred fifty-nine thousand, nine hundred forty".