51286996800 has 1008 divisors, whose sum is σ = 207852182720. Its totient is φ = 12361973760.

The previous prime is 51286996769. The next prime is 51286996819. The reversal of 51286996800 is 869968215.

It is a happy number.

51286996800 is a `hidden beast` number, since 512 + 8 + 69 + 9 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 368971131 + ... + 368971269.

Almost surely, 2^51286996800 is an apocalyptic number.

51286996800 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 51286996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103926091360).

51286996800 is an abundant number, since it is smaller than the sum of its proper divisors (156565185920).

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

51286996800 is a wasteful number, since it uses less digits than its factorization.

51286996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 51286996800 in words is "fifty-one billion, two hundred eighty-six million, nine hundred ninety-six thousand, eight hundred".