52218044928000 has 832 divisors, whose sum is σ = 220648586595840. Its totient is φ = 11935531008000.

The previous prime is 52218044927977. The next prime is 52218044928029. The reversal of 52218044928000 is 82944081225.

52218044928000 is a `hidden beast` number, since 5 + 2 + 2 + 1 + 80 + 4 + 492 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×52218044928000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96498190 + ... + 97037810.

It is an arithmetic number, because the mean of its divisors is an integer number (265202628120).

Almost surely, 2^{52218044928000} is an apocalyptic number.

52218044928000 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 52218044928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110324293297920).

52218044928000 is an abundant number, since it is smaller than the sum of its proper divisors (168430541667840).

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

52218044928000 is an equidigital number, since it uses as much as digits as its factorization.

52218044928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539676 (or 539638 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 52218044928000 in words is "fifty-two trillion, two hundred eighteen billion, forty-four million, nine hundred twenty-eight thousand".