51735628800 has 792 divisors, whose sum is σ = 198975769200. Its totient is φ = 13170769920.

The previous prime is 51735628787. The next prime is 51735628801. The reversal of 51735628800 is 882653715.

51735628800 is a `hidden beast` number, since 5 + 1 + 7 + 3 + 562 + 8 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (51735628801) by changing a digit.

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, 581299156 + ... + 581299244.

Almost surely, 2^51735628800 is an apocalyptic number.

51735628800 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 51735628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99487884600).

51735628800 is an abundant number, since it is smaller than the sum of its proper divisors (147240140400).

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

51735628800 is a wasteful number, since it uses less digits than its factorization.

51735628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 51735628800 in words is "fifty-one billion, seven hundred thirty-five million, six hundred twenty-eight thousand, eight hundred".