55979617824 has 288 divisors, whose sum is σ = 173920690944. Its totient is φ = 16976977920.

The previous prime is 55979617823. The next prime is 55979617843. The reversal of 55979617824 is 42871697955.

55979617824 is a `hidden beast` number, since 5 + 5 + 9 + 7 + 9 + 617 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×55979617824² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55979617823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129882889 + ... + 129883319.

It is an arithmetic number, because the mean of its divisors is an integer number (603891288).

Almost surely, 2^55979617824 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 55979617824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86960345472).

55979617824 is an abundant number, since it is smaller than the sum of its proper divisors (117941073120).

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

55979617824 is a wasteful number, since it uses less digits than its factorization.

55979617824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 869 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 55979617824 in words is "fifty-five billion, nine hundred seventy-nine million, six hundred seventeen thousand, eight hundred twenty-four".