51381952800 has 72 divisors (see below), whose sum is σ = 167248264176. Its totient is φ = 13701853440.

The previous prime is 51381952793. The next prime is 51381952823. The reversal of 51381952800 is 825918315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10702174 + ... + 10706973.

It is an arithmetic number, because the mean of its divisors is an integer number (2322892558).

Almost surely, 2^51381952800 is an apocalyptic number.

51381952800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51381952800 is an abundant number, since it is smaller than the sum of its proper divisors (115866311376).

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

51381952800 is a wasteful number, since it uses less digits than its factorization.

51381952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21409170 (or 21409157 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 51381952800 in words is "fifty-one billion, three hundred eighty-one million, nine hundred fifty-two thousand, eight hundred".