51726288499200 has 2160 divisors, whose sum is σ = 229259492748000. Its totient is φ = 11072984186880.

The previous prime is 51726288499153. The next prime is 51726288499213. The reversal of 51726288499200 is 299488262715.

51726288499200 is a `hidden beast` number, since 5 + 1 + 7 + 2 + 62 + 88 + 499 + 2 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9545354091 + ... + 9545359509.

It is an arithmetic number, because the mean of its divisors is an integer number (106138654050).

Almost surely, 2^{51726288499200} is an apocalyptic number.

51726288499200 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 51726288499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114629746374000).

51726288499200 is an abundant number, since it is smaller than the sum of its proper divisors (177533204248800).

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

51726288499200 is a wasteful number, since it uses less digits than its factorization.

51726288499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 51726288499200 in words is "fifty-one trillion, seven hundred twenty-six billion, two hundred eighty-eight million, four hundred ninety-nine thousand, two hundred".