51184760400 has 90 divisors (see below), whose sum is σ = 177625349070. Its totient is φ = 13649268480.

The previous prime is 51184760399. The next prime is 51184760447. The reversal of 51184760400 is 406748115.

It is a happy number.

51184760400 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 47 + 604 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 473323536 + 50711436864 = 21756^2 + 225192^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7105395 + ... + 7112594.

Almost surely, 2^51184760400 is an apocalyptic number.

51184760400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51184760400 is an abundant number, since it is smaller than the sum of its proper divisors (126440588670).

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

51184760400 is a wasteful number, since it uses less digits than its factorization.

51184760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14218013 (or 14217999 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 51184760400 in words is "fifty-one billion, one hundred eighty-four million, seven hundred sixty thousand, four hundred".