53507012832 has 768 divisors, whose sum is σ = 205380403200. Its totient is φ = 13168189440.

The previous prime is 53507012821. The next prime is 53507012869. The reversal of 53507012832 is 23821070535.

It is a happy number.

53507012832 is a `hidden beast` number, since 535 + 0 + 70 + 1 + 28 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70682598 + ... + 70683354.

It is an arithmetic number, because the mean of its divisors is an integer number (267422400).

Almost surely, 2^53507012832 is an apocalyptic number.

53507012832 is a gapful number since it is divisible by the number (52) 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 53507012832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102690201600).

53507012832 is an abundant number, since it is smaller than the sum of its proper divisors (151873390368).

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

53507012832 is a wasteful number, since it uses less digits than its factorization.

53507012832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 53507012832 in words is "fifty-three billion, five hundred seven million, twelve thousand, eight hundred thirty-two".