51919932456 has 192 divisors, whose sum is σ = 173289916800. Its totient is φ = 13710643200.

The previous prime is 51919932443. The next prime is 51919932457. The reversal of 51919932456 is 65423991915.

51919932456 is a `hidden beast` number, since 519 + 1 + 99 + 32 + 4 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (51919932457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326496 + ... + 458736.

It is an arithmetic number, because the mean of its divisors is an integer number (902551650).

Almost surely, 2^51919932456 is an apocalyptic number.

51919932456 is a gapful number since it is divisible by the number (56) 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 51919932456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86644958400).

51919932456 is an abundant number, since it is smaller than the sum of its proper divisors (121369984344).

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

51919932456 is a wasteful number, since it uses less digits than its factorization.

51919932456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132320 (or 132313 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The spelling of 51919932456 in words is "fifty-one billion, nine hundred nineteen million, nine hundred thirty-two thousand, four hundred fifty-six".