51069052800 has 768 divisors, whose sum is σ = 201558528000. Its totient is φ = 12590899200.

The previous prime is 51069052799. The next prime is 51069052843. The reversal of 51069052800 is 825096015.

It is a happy number.

51069052800 is a `hidden beast` number, since 510 + 6 + 90 + 52 + 8 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 61602786 + ... + 61603614.

It is an arithmetic number, because the mean of its divisors is an integer number (262446000).

Almost surely, 2^51069052800 is an apocalyptic number.

51069052800 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 51069052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100779264000).

51069052800 is an abundant number, since it is smaller than the sum of its proper divisors (150489475200).

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

51069052800 is a wasteful number, since it uses less digits than its factorization.

51069052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 51069052800 in words is "fifty-one billion, sixty-nine million, fifty-two thousand, eight hundred".