51059564313600 has 528 divisors, whose sum is σ = 172892590737408. Its totient is φ = 13283848028160.

The previous prime is 51059564313577. The next prime is 51059564313623. The reversal of 51059564313600 is 631346595015.

It is an interprime number because it is at equal distance from previous prime (51059564313577) and next prime (51059564313623).

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

It is a self number, because there is not a number n which added to its sum of digits gives 51059564313600.

It is a congruent number.

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, 1144220889 + ... + 1144265511.

Almost surely, 2^{51059564313600} is an apocalyptic number.

51059564313600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51059564313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86446295368704).

51059564313600 is an abundant number, since it is smaller than the sum of its proper divisors (121833026423808).

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

51059564313600 is a wasteful number, since it uses less digits than its factorization.

51059564313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45020 (or 44997 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 48.

The spelling of 51059564313600 in words is "fifty-one trillion, fifty-nine billion, five hundred sixty-four million, three hundred thirteen thousand, six hundred".