51062860800 has 594 divisors, whose sum is σ = 212725885788. Its totient is φ = 11668930560.

The previous prime is 51062860799. The next prime is 51062860831. The reversal of 51062860800 is 806826015.

It is a happy number.

51062860800 is a `hidden beast` number, since 510 + 6 + 2 + 8 + 60 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11287339 + ... + 11291861.

Almost surely, 2^51062860800 is an apocalyptic number.

51062860800 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 51062860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106362942894).

51062860800 is an abundant number, since it is smaller than the sum of its proper divisors (161663024988).

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

51062860800 is a wasteful number, since it uses less digits than its factorization.

51062860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 51062860800 in words is "fifty-one billion, sixty-two million, eight hundred sixty thousand, eight hundred".