51598525630464 has 288 divisors, whose sum is σ = 154614739144320. Its totient is φ = 17191802880000.

The previous prime is 51598525630367. The next prime is 51598525630513. The reversal of 51598525630464 is 46403652589515.

51598525630464 is a `hidden beast` number, since 5 + 1 + 5 + 9 + 8 + 5 + 2 + 563 + 0 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×51598525630464³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1169986014 + ... + 1170030114.

It is an arithmetic number, because the mean of its divisors is an integer number (536856733140).

Almost surely, 2^{51598525630464} is an apocalyptic number.

51598525630464 is a gapful number since it is divisible by the number (54) 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 51598525630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77307369572160).

51598525630464 is an abundant number, since it is smaller than the sum of its proper divisors (103016213513856).

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

51598525630464 is an equidigital number, since it uses as much as digits as its factorization.

51598525630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46489 (or 46457 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 63.

The spelling of 51598525630464 in words is "fifty-one trillion, five hundred ninety-eight billion, five hundred twenty-five million, six hundred thirty thousand, four hundred sixty-four".