51579454800 has 120 divisors (see below), whose sum is σ = 165855438144. Its totient is φ = 13702138880.

The previous prime is 51579454783. The next prime is 51579454819. The reversal of 51579454800 is 845497515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 51579454800.

It is a congruent number.

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, 233884 + ... + 397316.

Almost surely, 2^51579454800 is an apocalyptic number.

51579454800 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 51579454800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82927719072).

51579454800 is an abundant number, since it is smaller than the sum of its proper divisors (114275983344).

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

51579454800 is a wasteful number, since it uses less digits than its factorization.

51579454800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163717 (or 163706 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 51579454800 in words is "fifty-one billion, five hundred seventy-nine million, four hundred fifty-four thousand, eight hundred".