51757022422560 has 768 divisors, whose sum is σ = 211455761448960. Its totient is φ = 10341933465600.

The previous prime is 51757022422549. The next prime is 51757022422577. The reversal of 51757022422560 is 6522422075715.

It is a super-2 number, since 2×51757022422560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101213601 + ... + 101723679.

It is an arithmetic number, because the mean of its divisors is an integer number (275333022720).

Almost surely, 2^{51757022422560} 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 51757022422560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105727880724480).

51757022422560 is an abundant number, since it is smaller than the sum of its proper divisors (159698739026400).

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

51757022422560 is a wasteful number, since it uses less digits than its factorization.

51757022422560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510241 (or 510233 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 48.

The spelling of 51757022422560 in words is "fifty-one trillion, seven hundred fifty-seven billion, twenty-two million, four hundred twenty-two thousand, five hundred sixty".