51993728064000 has 1280 divisors, whose sum is σ = 206415153584640. Its totient is φ = 12854152396800.

The previous prime is 51993728063971. The next prime is 51993728064001. The reversal of 51993728064000 is 46082739915.

51993728064000 is a `hidden beast` number, since 5 + 1 + 9 + 93 + 72 + 80 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is not an unprimeable number, because it can be changed into a prime (51993728064001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1968178792 + ... + 1968205208.

It is an arithmetic number, because the mean of its divisors is an integer number (161261838738).

It is a 2-persistent number, because it is pandigital, and so is 2⋅51993728064000 = 103987456128000, but 3⋅51993728064000 = 155981184192000 is not.

Almost surely, 2^{51993728064000} is an apocalyptic number.

51993728064000 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 51993728064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103207576792320).

51993728064000 is an abundant number, since it is smaller than the sum of its proper divisors (154421425520640).

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

51993728064000 is a wasteful number, since it uses less digits than its factorization.

51993728064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26543 (or 26511 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 51993728064000 in words is "fifty-one trillion, nine hundred ninety-three billion, seven hundred twenty-eight million, sixty-four thousand".