51756606720 has 864 divisors, whose sum is σ = 230182525440. Its totient is φ = 10915430400.

The previous prime is 51756606691. The next prime is 51756606763. The reversal of 51756606720 is 2760665715.

51756606720 is a `hidden beast` number, since 5 + 1 + 7 + 566 + 0 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22013545 + ... + 22015895.

It is an arithmetic number, because the mean of its divisors is an integer number (266414960).

Almost surely, 2^51756606720 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 51756606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115091262720).

51756606720 is an abundant number, since it is smaller than the sum of its proper divisors (178425918720).

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

51756606720 is a wasteful number, since it uses less digits than its factorization.

51756606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 51756606720 in words is "fifty-one billion, seven hundred fifty-six million, six hundred six thousand, seven hundred twenty".