51624855797760 has 816 divisors, whose sum is σ = 211131599477760. Its totient is φ = 11419181383680.

The previous prime is 51624855797719. The next prime is 51624855797771. The reversal of 51624855797760 is 6779755842615.

51624855797760 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 4 + 8 + 557 + 9 + 7 + 7 + 60 = 666.

It is a super-3 number, since 3×51624855797760³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639918706 + ... + 639999374.

Almost surely, 2^{51624855797760} 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 51624855797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105565799738880).

51624855797760 is an abundant number, since it is smaller than the sum of its proper divisors (159506743680000).

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

51624855797760 is an equidigital number, since it uses as much as digits as its factorization.

51624855797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80750 (or 80717 counting only the distinct ones).

The product of its (nonzero) digits is 889056000, while the sum is 72.

The spelling of 51624855797760 in words is "fifty-one trillion, six hundred twenty-four billion, eight hundred fifty-five million, seven hundred ninety-seven thousand, seven hundred sixty".