51039322560 has 448 divisors, whose sum is σ = 192301977600. Its totient is φ = 12715315200.

The previous prime is 51039322553. The next prime is 51039322567. The reversal of 51039322560 is 6522393015.

51039322560 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 93 + 2 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (51039322553) and next prime (51039322567).

It is a super-3 number, since 3×51039322560³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51039322567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7764075 + ... + 7770645.

Almost surely, 2^51039322560 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 51039322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96150988800).

51039322560 is an abundant number, since it is smaller than the sum of its proper divisors (141262655040).

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

51039322560 is a wasteful number, since it uses less digits than its factorization.

51039322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 51039322560 in words is "fifty-one billion, thirty-nine million, three hundred twenty-two thousand, five hundred sixty".