52225614120960 has 1344 divisors, whose sum is σ = 217677687776640. Its totient is φ = 11772898836480.

The previous prime is 52225614120907. The next prime is 52225614120991. The reversal of 52225614120960 is 6902141652225.

52225614120960 is a `hidden beast` number, since 5 + 2 + 2 + 2 + 5 + 614 + 1 + 20 + 9 + 6 + 0 = 666.

52225614120960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×52225614120960² (a number of 28 digits) contains 22 as substring.

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

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 111 ways as a sum of consecutive naturals, for example, 3814587715 + ... + 3814601405.

It is an arithmetic number, because the mean of its divisors is an integer number (161962565310).

Almost surely, 2^{52225614120960} 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 52225614120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108838843888320).

52225614120960 is an abundant number, since it is smaller than the sum of its proper divisors (165452073655680).

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

52225614120960 is an equidigital number, since it uses as much as digits as its factorization.

52225614120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13816 (or 13781 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 52225614120960 in words is "fifty-two trillion, two hundred twenty-five billion, six hundred fourteen million, one hundred twenty thousand, nine hundred sixty".