51579550800 has 360 divisors, whose sum is σ = 194920783200. Its totient is φ = 12580807680.

The previous prime is 51579550783. The next prime is 51579550861. The reversal of 51579550800 is 805597515.

51579550800 is a `hidden beast` number, since 5 + 1 + 57 + 95 + 508 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1970599 + ... + 1996601.

It is an arithmetic number, because the mean of its divisors is an integer number (541446620).

Almost surely, 2^51579550800 is an apocalyptic number.

51579550800 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 51579550800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97460391600).

51579550800 is an abundant number, since it is smaller than the sum of its proper divisors (143341232400).

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

51579550800 is a wasteful number, since it uses less digits than its factorization.

51579550800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26075 (or 26061 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 45.

The spelling of 51579550800 in words is "fifty-one billion, five hundred seventy-nine million, five hundred fifty thousand, eight hundred".