51435648000 has 1320 divisors, whose sum is σ = 215838414792. Its totient is φ = 12165120000.

The previous prime is 51435647999. The next prime is 51435648059. The reversal of 51435648000 is 84653415.

It is a happy number.

51435648000 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 5 + 648 + 0 + 0 + 0 = 666.

51435648000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11601874944 + 39833773056 = 107712^2 + 199584^2 .

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1254527980 + ... + 1254528020.

Almost surely, 2^51435648000 is an apocalyptic number.

51435648000 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 51435648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107919207396).

51435648000 is an abundant number, since it is smaller than the sum of its proper divisors (164402766792).

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

51435648000 is a wasteful number, since it uses less digits than its factorization.

51435648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 51435648000 in words is "fifty-one billion, four hundred thirty-five million, six hundred forty-eight thousand".