157650585120 has 864 divisors, whose sum is σ = 657472915008. Its totient is φ = 35564562432.

The previous prime is 157650585101. The next prime is 157650585139. The reversal of 157650585120 is 21585056751.

157650585120 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 50 + 585 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157650585101) and next prime (157650585139).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 158124462 + ... + 158125458.

It is an arithmetic number, because the mean of its divisors is an integer number (760964022).

Almost surely, 2^157650585120 is an apocalyptic number.

157650585120 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 157650585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328736457504).

157650585120 is an abundant number, since it is smaller than the sum of its proper divisors (499822329888).

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

157650585120 is an equidigital number, since it uses as much as digits as its factorization.

157650585120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

The spelling of 157650585120 in words is "one hundred fifty-seven billion, six hundred fifty million, five hundred eighty-five thousand, one hundred twenty".