55982418979600 has 135 divisors (see below), whose sum is σ = 138244754204991. Its totient is φ = 21785597395200.

The previous prime is 55982418979589. The next prime is 55982418979621. The reversal of 55982418979600 is 697981428955.

The square root of 55982418979600 is 7482140.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5314444974864 + 50667974004736 = 2305308^2 + 7118144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5536778545 + ... + 5536788655.

Almost surely, 2^{55982418979600} is an apocalyptic number.

55982418979600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55982418979600 is the 7482140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55982418979600

55982418979600 is an abundant number, since it is smaller than the sum of its proper divisors (82262335225391).

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

55982418979600 is an frugal number, since it uses more digits than its factorization.

55982418979600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20314 (or 10155 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 73.

The spelling of 55982418979600 in words is "fifty-five trillion, nine hundred eighty-two billion, four hundred eighteen million, nine hundred seventy-nine thousand, six hundred".