55995812705664 has 288 divisors, whose sum is σ = 177086397126600. Its totient is φ = 16972320448512.

The previous prime is 55995812705617. The next prime is 55995812705711. The reversal of 55995812705664 is 46650721859955.

55995812705664 is a `hidden beast` number, since 5 + 5 + 9 + 9 + 58 + 1 + 2 + 7 + 0 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (55995812705617) and next prime (55995812705711).

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

It is a super-4 number, since 4×55995812705664⁴ (a number of 56 digits) contains 4444 as substring.

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 = 55995812705592 and 55995812705601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10897692 + ... + 15190500.

Almost surely, 2^{55995812705664} 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 55995812705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88543198563300).

55995812705664 is an abundant number, since it is smaller than the sum of its proper divisors (121090584420936).

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

55995812705664 is a wasteful number, since it uses less digits than its factorization.

55995812705664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292922 (or 4292894 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 55995812705664 in words is "fifty-five trillion, nine hundred ninety-five billion, eight hundred twelve million, seven hundred five thousand, six hundred sixty-four".