51314264000 has 112 divisors (see below), whose sum is σ = 130515116160. Its totient is φ = 19970841600.

The previous prime is 51314263999. The next prime is 51314264047. The reversal of 51314264000 is 46241315.

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 15 ways as a sum of consecutive naturals, for example, 209321 + ... + 382679.

Almost surely, 2^51314264000 is an apocalyptic number.

51314264000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51314264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65257558080).

51314264000 is an abundant number, since it is smaller than the sum of its proper divisors (79200852160).

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

51314264000 is a wasteful number, since it uses less digits than its factorization.

51314264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173423 (or 173403 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 51314264000 in words is "fifty-one billion, three hundred fourteen million, two hundred sixty-four thousand".