51712980480 has 480 divisors, whose sum is σ = 205539130368. Its totient is φ = 11770675200.

The previous prime is 51712980469. The next prime is 51712980497. The reversal of 51712980480 is 8408921715.

51712980480 is a `hidden beast` number, since 5 + 1 + 71 + 29 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×51712980480² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50157565 + ... + 50158595.

Almost surely, 2^51712980480 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 51712980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102769565184).

51712980480 is an abundant number, since it is smaller than the sum of its proper divisors (153826149888).

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

51712980480 is a wasteful number, since it uses less digits than its factorization.

51712980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 51712980480 in words is "fifty-one billion, seven hundred twelve million, nine hundred eighty thousand, four hundred eighty".