51696054412800 has 480 divisors, whose sum is σ = 195247221092352. Its totient is φ = 11811630612480.

The previous prime is 51696054412781. The next prime is 51696054412813. The reversal of 51696054412800 is 821445069615.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714165409 + ... + 714237791.

Almost surely, 2^{51696054412800} is an apocalyptic number.

51696054412800 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 51696054412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97623610546176).

51696054412800 is an abundant number, since it is smaller than the sum of its proper divisors (143551166679552).

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

51696054412800 is a wasteful number, since it uses less digits than its factorization.

51696054412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75078 (or 75057 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 51696054412800 in words is "fifty-one trillion, six hundred ninety-six billion, fifty-four million, four hundred twelve thousand, eight hundred".