51465979468800 has 1584 divisors, whose sum is σ = 206288574186240. Its totient is φ = 12172268666880.

The previous prime is 51465979468751. The next prime is 51465979468831. The reversal of 51465979468800 is 886497956415.

51465979468800 is a `hidden beast` number, since 5 + 1 + 46 + 59 + 79 + 468 + 8 + 0 + 0 = 666.

51465979468800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19369957072 + ... + 19369959728.

Almost surely, 2^{51465979468800} is an apocalyptic number.

51465979468800 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 51465979468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103144287093120).

51465979468800 is an abundant number, since it is smaller than the sum of its proper divisors (154822594717440).

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

51465979468800 is a wasteful number, since it uses less digits than its factorization.

51465979468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 51465979468800 in words is "fifty-one trillion, four hundred sixty-five billion, nine hundred seventy-nine million, four hundred sixty-eight thousand, eight hundred".