51625899823680 has 2688 divisors, whose sum is σ = 238822675983360. Its totient is φ = 10386287493120.

The previous prime is 51625899823633. The next prime is 51625899823711. The reversal of 51625899823680 is 8632899852615.

51625899823680 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 589 + 9 + 8 + 2 + 36 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 51625899823599 and 51625899823608.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 78102722550 + ... + 78102723210.

It is an arithmetic number, because the mean of its divisors is an integer number (88847721720).

Almost surely, 2^{51625899823680} 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 51625899823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119411337991680).

51625899823680 is an abundant number, since it is smaller than the sum of its proper divisors (187196776159680).

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

51625899823680 is a wasteful number, since it uses less digits than its factorization.

51625899823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 51625899823680 in words is "fifty-one trillion, six hundred twenty-five billion, eight hundred ninety-nine million, eight hundred twenty-three thousand, six hundred eighty".