51828310400 has 96 divisors (see below), whose sum is σ = 133598926800. Its totient is φ = 19829934080.

The previous prime is 51828310399. The next prime is 51828310403. The reversal of 51828310400 is 401382815.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51828310403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278495 + ... + 425694.

Almost surely, 2^51828310400 is an apocalyptic number.

51828310400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51828310400 is an abundant number, since it is smaller than the sum of its proper divisors (81770616400).

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

51828310400 is a wasteful number, since it uses less digits than its factorization.

51828310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704236 (or 704219 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 51828310400 in words is "fifty-one billion, eight hundred twenty-eight million, three hundred ten thousand, four hundred".