55984916026368 has 352 divisors, whose sum is σ = 190693004563200. Its totient is φ = 15893798289408.

The previous prime is 55984916026367. The next prime is 55984916026393. The reversal of 55984916026368 is 86362061948955.

It is a happy number.

55984916026368 is a `hidden beast` number, since 5 + 5 + 9 + 8 + 4 + 9 + 1 + 602 + 6 + 3 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55984916026296 and 55984916026305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55984916026367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29463898 + ... + 31306406.

Almost surely, 2^{55984916026368} 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 55984916026368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95346502281600).

55984916026368 is an abundant number, since it is smaller than the sum of its proper divisors (134708088536832).

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

55984916026368 is a wasteful number, since it uses less digits than its factorization.

55984916026368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842702 (or 1842678 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 55984916026368 in words is "fifty-five trillion, nine hundred eighty-four billion, nine hundred sixteen million, twenty-six thousand, three hundred sixty-eight".