51927220800 has 2520 divisors, whose sum is σ = 260021810664. Its totient is φ = 10032906240.

The previous prime is 51927220777. The next prime is 51927220811. The reversal of 51927220800 is 802272915.

It can be written as a sum of positive squares in 12 ways, for example, as 6261240384 + 45665980416 = 79128^2 + 213696^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

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 359 ways as a sum of consecutive naturals, for example, 1403438382 + ... + 1403438418.

Almost surely, 2^51927220800 is an apocalyptic number.

51927220800 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 51927220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130010905332).

51927220800 is an abundant number, since it is smaller than the sum of its proper divisors (208094589864).

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

51927220800 is a wasteful number, since it uses less digits than its factorization.

51927220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 51927220800 in words is "fifty-one billion, nine hundred twenty-seven million, two hundred twenty thousand, eight hundred".