51096720879360 has 1152 divisors, whose sum is σ = 198030031960320. Its totient is φ = 12555465523200.

The previous prime is 51096720879317. The next prime is 51096720879389. The reversal of 51096720879360 is 6397802769015.

51096720879360 is a `hidden beast` number, since 5 + 1 + 0 + 9 + 67 + 208 + 7 + 9 + 360 = 666.

51096720879360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×51096720879360² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31915502560 + ... + 31915504160.

It is an arithmetic number, because the mean of its divisors is an integer number (171901069410).

Almost surely, 2^{51096720879360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51096720879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99015015980160).

51096720879360 is an abundant number, since it is smaller than the sum of its proper divisors (146933311080960).

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

51096720879360 is an equidigital number, since it uses as much as digits as its factorization.

51096720879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 51096720879360 in words is "fifty-one trillion, ninety-six billion, seven hundred twenty million, eight hundred seventy-nine thousand, three hundred sixty".