51936711072960 has 1792 divisors, whose sum is σ = 201589355520000. Its totient is φ = 11314888704000.

The previous prime is 51936711072947. The next prime is 51936711072991. The reversal of 51936711072960 is 6927011763915.

It is a super-2 number, since 2×51936711072960² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51936711072960.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 148815790866 + ... + 148815791214.

It is an arithmetic number, because the mean of its divisors is an integer number (112494060000).

Almost surely, 2^{51936711072960} 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 51936711072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100794677760000).

51936711072960 is an abundant number, since it is smaller than the sum of its proper divisors (149652644447040).

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

51936711072960 is a wasteful number, since it uses less digits than its factorization.

51936711072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 57.

The spelling of 51936711072960 in words is "fifty-one trillion, nine hundred thirty-six billion, seven hundred eleven million, seventy-two thousand, nine hundred sixty".