51663290400 has 180 divisors, whose sum is σ = 188406210762. Its totient is φ = 13776860160.

The previous prime is 51663290387. The next prime is 51663290447. The reversal of 51663290400 is 409236615.

It is a happy number.

51663290400 is a `hidden beast` number, since 5 + 16 + 632 + 9 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 27173544336 + 24489746064 = 164844^2 + 156492^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 333837 + ... + 463436.

Almost surely, 2^51663290400 is an apocalyptic number.

51663290400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51663290400 is an abundant number, since it is smaller than the sum of its proper divisors (136742920362).

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

51663290400 is a wasteful number, since it uses less digits than its factorization.

51663290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797305 (or 797283 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 51663290400 in words is "fifty-one billion, six hundred sixty-three million, two hundred ninety thousand, four hundred".