853507138932 has 240 divisors, whose sum is σ = 2578881634560. Its totient is φ = 241102656000.

The previous prime is 853507138919. The next prime is 853507138963. The reversal of 853507138932 is 239831705358.

853507138932 is a `hidden beast` number, since 8 + 53 + 507 + 1 + 3 + 89 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192185832 + ... + 192190272.

It is an arithmetic number, because the mean of its divisors is an integer number (10745340144).

Almost surely, 2^853507138932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853507138932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289440817280).

853507138932 is an abundant number, since it is smaller than the sum of its proper divisors (1725374495628).

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

853507138932 is a wasteful number, since it uses less digits than its factorization.

853507138932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 853507138932 in words is "eight hundred fifty-three billion, five hundred seven million, one hundred thirty-eight thousand, nine hundred thirty-two".