51763736760960 has 768 divisors, whose sum is σ = 193040241984000. Its totient is φ = 11763755974656.

The previous prime is 51763736760947. The next prime is 51763736760973. The reversal of 51763736760960 is 6906763736715.

It is an interprime number because it is at equal distance from previous prime (51763736760947) and next prime (51763736760973).

It is a junction number, because it is equal to n+sod(n) for n = 51763736760891 and 51763736760900.

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, 18640163092 + ... + 18640165868.

It is an arithmetic number, because the mean of its divisors is an integer number (251354481750).

Almost surely, 2^{51763736760960} 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 51763736760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96520120992000).

51763736760960 is an abundant number, since it is smaller than the sum of its proper divisors (141276505223040).

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

51763736760960 is a wasteful number, since it uses less digits than its factorization.

51763736760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 180033840, while the sum is 66.

The spelling of 51763736760960 in words is "fifty-one trillion, seven hundred sixty-three billion, seven hundred thirty-six million, seven hundred sixty thousand, nine hundred sixty".