51451956864 has 1152 divisors, whose sum is σ = 202903948800. Its totient is φ = 12933043200.

The previous prime is 51451956841. The next prime is 51451956929. The reversal of 51451956864 is 46865915415.

It is a happy number.

51451956864 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 19 + 568 + 64 = 666.

51451956864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5184000) is a multiple of the sum of its prime divisors (54).

It is a self number, because there is not a number n which added to its sum of digits gives 51451956864.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1659740529 + ... + 1659740559.

It is an arithmetic number, because the mean of its divisors is an integer number (176131900).

Almost surely, 2^51451956864 is an apocalyptic number.

51451956864 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 51451956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101451974400).

51451956864 is an abundant number, since it is smaller than the sum of its proper divisors (151451991936).

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

51451956864 is an equidigital number, since it uses as much as digits as its factorization.

51451956864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 54 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 51451956864 in words is "fifty-one billion, four hundred fifty-one million, nine hundred fifty-six thousand, eight hundred sixty-four".