51556305993984 has 567 divisors, whose sum is σ = 169710670248847. Its totient is φ = 15612783436800.

The previous prime is 51556305993919. The next prime is 51556305994007. The reversal of 51556305993984 is 48939950365515.

It is a happy number.

The square root of 51556305993984 is 7180272.

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

51556305993984 is a `hidden beast` number, since 5 + 1 + 5 + 563 + 0 + 59 + 9 + 3 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 34120651789 + ... + 34120653299.

Almost surely, 2^{51556305993984} is an apocalyptic number.

51556305993984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

51556305993984 is the 7180272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51556305993984

51556305993984 is an abundant number, since it is smaller than the sum of its proper divisors (118154364254863).

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

51556305993984 is an frugal number, since it uses more digits than its factorization.

51556305993984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 787320000, while the sum is 72.

The spelling of 51556305993984 in words is "fifty-one trillion, five hundred fifty-six billion, three hundred five million, nine hundred ninety-three thousand, nine hundred eighty-four".