51344146800 has 180 divisors, whose sum is σ = 183926543424. Its totient is φ = 13250073600.

The previous prime is 51344146771. The next prime is 51344146837. The reversal of 51344146800 is 864144315.

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 a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 118437 + ... + 341636.

Almost surely, 2^51344146800 is an apocalyptic number.

51344146800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51344146800 is an abundant number, since it is smaller than the sum of its proper divisors (132582396624).

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

51344146800 is a wasteful number, since it uses less digits than its factorization.

51344146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460128 (or 460114 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 51344146800 in words is "fifty-one billion, three hundred forty-four million, one hundred forty-six thousand, eight hundred".