55668596971680 has 3840 divisors, whose sum is σ = 258274597109760. Its totient is φ = 10960950067200.

The previous prime is 55668596971601. The next prime is 55668596971699. The reversal of 55668596971680 is 8617969586655.

55668596971680 is a `hidden beast` number, since 5 + 5 + 6 + 6 + 8 + 596 + 9 + 7 + 16 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 55668596971680.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 243094309806 + ... + 243094310034.

It is an arithmetic number, because the mean of its divisors is an integer number (67259009664).

Almost surely, 2^{55668596971680} 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 55668596971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129137298554880).

55668596971680 is an abundant number, since it is smaller than the sum of its proper divisors (202606000138080).

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

55668596971680 is a wasteful number, since it uses less digits than its factorization.

55668596971680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 5878656000, while the sum is 81.

The spelling of 55668596971680 in words is "fifty-five trillion, six hundred sixty-eight billion, five hundred ninety-six million, nine hundred seventy-one thousand, six hundred eighty".