157075485840 has 360 divisors, whose sum is σ = 660840937848. Its totient is φ = 33141104640.

The previous prime is 157075485821. The next prime is 157075485857. The reversal of 157075485840 is 48584570751.

157075485840 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 7 + 54 + 8 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35025871104 + 122049614736 = 187152^2 + 349356^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 287400 + ... + 629880.

Almost surely, 2^157075485840 is an apocalyptic number.

157075485840 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 157075485840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330420468924).

157075485840 is an abundant number, since it is smaller than the sum of its proper divisors (503765452008).

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

157075485840 is a wasteful number, since it uses less digits than its factorization.

157075485840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342527 (or 342511 counting only the distinct ones).

The product of its (nonzero) digits is 6272000, while the sum is 54.

The spelling of 157075485840 in words is "one hundred fifty-seven billion, seventy-five million, four hundred eighty-five thousand, eight hundred forty".