51880083984 has 405 divisors, whose sum is σ = 163538495757. Its totient is φ = 15940395648.

The previous prime is 51880083973. The next prime is 51880084013. The reversal of 51880083984 is 48938008815.

The square root of 51880083984 is 227772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46423011600 + 5457072384 = 215460^2 + 73872^2 .

It is a super-2 number, since 2×51880083984² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51880083984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1402164414 + ... + 1402164450.

Almost surely, 2^51880083984 is an apocalyptic number.

51880083984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

51880083984 is the 227772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51880083984

51880083984 is an abundant number, since it is smaller than the sum of its proper divisors (111658411773).

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

51880083984 is an frugal number, since it uses more digits than its factorization.

51880083984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 51880083984 in words is "fifty-one billion, eight hundred eighty million, eighty-three thousand, nine hundred eighty-four".