55982261664 has 648 divisors, whose sum is σ = 197611939980. Its totient is φ = 14981750784.

The previous prime is 55982261653. The next prime is 55982261669. The reversal of 55982261664 is 46616228955.

55982261664 is a `hidden beast` number, since 559 + 8 + 2 + 26 + 1 + 6 + 64 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26473893264 + 29508368400 = 162708^2 + 171780^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55982261664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55982261669) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 629014132 + ... + 629014220.

Almost surely, 2^55982261664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55982261664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98805969990).

55982261664 is an abundant number, since it is smaller than the sum of its proper divisors (141629678316).

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

55982261664 is a wasteful number, since it uses less digits than its factorization.

55982261664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 183 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 55982261664 in words is "fifty-five billion, nine hundred eighty-two million, two hundred sixty-one thousand, six hundred sixty-four".