52770586752 has 256 divisors, whose sum is σ = 173142144000. Its totient is φ = 15712911360.

The previous prime is 52770586747. The next prime is 52770586763. The reversal of 52770586752 is 25768507725.

52770586752 is a `hidden beast` number, since 5 + 2 + 7 + 7 + 0 + 586 + 7 + 52 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 1373824 + ... + 1411712.

It is an arithmetic number, because the mean of its divisors is an integer number (676336500).

Almost surely, 2^52770586752 is an apocalyptic number.

52770586752 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 52770586752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86571072000).

52770586752 is an abundant number, since it is smaller than the sum of its proper divisors (120371557248).

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

52770586752 is a wasteful number, since it uses less digits than its factorization.

52770586752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37956 (or 37938 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 52770586752 in words is "fifty-two billion, seven hundred seventy million, five hundred eighty-six thousand, seven hundred fifty-two".