51319868544 has 320 divisors, whose sum is σ = 178119744000. Its totient is φ = 14661803520.

The previous prime is 51319868539. The next prime is 51319868563. The reversal of 51319868544 is 44586891315.

It is a happy number.

51319868544 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 98 + 6 + 8 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 3549009 + ... + 3563439.

It is an arithmetic number, because the mean of its divisors is an integer number (556624200).

Almost surely, 2^51319868544 is an apocalyptic number.

51319868544 is a gapful number since it is divisible by the number (54) 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 51319868544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89059872000).

51319868544 is an abundant number, since it is smaller than the sum of its proper divisors (126799875456).

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

51319868544 is an equidigital number, since it uses as much as digits as its factorization.

51319868544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14478 (or 14443 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 51319868544 in words is "fifty-one billion, three hundred nineteen million, eight hundred sixty-eight thousand, five hundred forty-four".