51335856000 has 1280 divisors, whose sum is σ = 224804099520. Its totient is φ = 11446272000.

The previous prime is 51335855981. The next prime is 51335856023. The reversal of 51335856000 is 65853315.

51335856000 is a `hidden beast` number, since 5 + 13 + 3 + 585 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×51335856000² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 185327862 + ... + 185328138.

Almost surely, 2^51335856000 is an apocalyptic number.

51335856000 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 51335856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112402049760).

51335856000 is an abundant number, since it is smaller than the sum of its proper divisors (173468243520).

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

51335856000 is a wasteful number, since it uses less digits than its factorization.

51335856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 51335856000 in words is "fifty-one billion, three hundred thirty-five million, eight hundred fifty-six thousand".