51553900800 has 972 divisors, whose sum is σ = 207366293680. Its totient is φ = 12182814720.

The previous prime is 51553900763. The next prime is 51553900807. The reversal of 51553900800 is 800935515.

It is a happy number.

51553900800 is a `hidden beast` number, since 515 + 53 + 90 + 0 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (51553900807) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 316281519 + ... + 316281681.

Almost surely, 2^51553900800 is an apocalyptic number.

51553900800 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 51553900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103683146840).

51553900800 is an abundant number, since it is smaller than the sum of its proper divisors (155812392880).

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

51553900800 is a wasteful number, since it uses less digits than its factorization.

51553900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 51553900800 in words is "fifty-one billion, five hundred fifty-three million, nine hundred thousand, eight hundred".