52087512672 has 576 divisors, whose sum is σ = 176971931136. Its totient is φ = 14944849920.

The previous prime is 52087512667. The next prime is 52087512691. The reversal of 52087512672 is 27621578025.

52087512672 is a `hidden beast` number, since 52 + 0 + 87 + 512 + 6 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99975772 + ... + 99976292.

It is an arithmetic number, because the mean of its divisors is an integer number (307242936).

Almost surely, 2^52087512672 is an apocalyptic number.

52087512672 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 52087512672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88485965568).

52087512672 is an abundant number, since it is smaller than the sum of its proper divisors (124884418464).

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

52087512672 is a wasteful number, since it uses less digits than its factorization.

52087512672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 52087512672 in words is "fifty-two billion, eighty-seven million, five hundred twelve thousand, six hundred seventy-two".