52420556980800 has 672 divisors, whose sum is σ = 201262274640000. Its totient is φ = 13235685949440.

The previous prime is 52420556980733. The next prime is 52420556980823. The reversal of 52420556980800 is 808965502425.

52420556980800 is a `hidden beast` number, since 5 + 2 + 4 + 2 + 0 + 556 + 9 + 8 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×52420556980800² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1550474296 + ... + 1550508104.

It is an arithmetic number, because the mean of its divisors is an integer number (299497432500).

Almost surely, 2^{52420556980800} is an apocalyptic number.

52420556980800 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 52420556980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100631137320000).

52420556980800 is an abundant number, since it is smaller than the sum of its proper divisors (148841717659200).

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

52420556980800 is a wasteful number, since it uses less digits than its factorization.

52420556980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35748 (or 35727 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 52420556980800 in words is "fifty-two trillion, four hundred twenty billion, five hundred fifty-six million, nine hundred eighty thousand, eight hundred".