52223228064000 has 4608 divisors, whose sum is σ = 242791314554880. Its totient is φ = 10784931840000.

The previous prime is 52223228063987. The next prime is 52223228064019. The reversal of 52223228064000 is 46082232225.

52223228064000 is a `hidden beast` number, since 5 + 2 + 2 + 2 + 3 + 2 + 2 + 8 + 0 + 640 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 488067551947 + ... + 488067552053.

It is an arithmetic number, because the mean of its divisors is an integer number (52689087360).

Almost surely, 2^{52223228064000} is an apocalyptic number.

52223228064000 is a gapful number since it is divisible by the number (50) 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 52223228064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121395657277440).

52223228064000 is an abundant number, since it is smaller than the sum of its proper divisors (190568086490880).

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

52223228064000 is a wasteful number, since it uses less digits than its factorization.

52223228064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 52223228064000 in words is "fifty-two trillion, two hundred twenty-three billion, two hundred twenty-eight million, sixty-four thousand".