55546564620672 has 256 divisors, whose sum is σ = 173462082912000. Its totient is φ = 17450130309120.

The previous prime is 55546564620649. The next prime is 55546564620719. The reversal of 55546564620672 is 27602646564555.

55546564620672 is a `hidden beast` number, since 5 + 5 + 5 + 4 + 6 + 564 + 6 + 2 + 0 + 67 + 2 = 666.

It is a super-3 number, since 3×55546564620672³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10481647 + ... + 14864657.

It is an arithmetic number, because the mean of its divisors is an integer number (677586261375).

Almost surely, 2^{55546564620672} 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 55546564620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86731041456000).

55546564620672 is an abundant number, since it is smaller than the sum of its proper divisors (117915518291328).

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

55546564620672 is a wasteful number, since it uses less digits than its factorization.

55546564620672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383246 (or 4383228 counting only the distinct ones).

The product of its (nonzero) digits is 362880000, while the sum is 63.

The spelling of 55546564620672 in words is "fifty-five trillion, five hundred forty-six billion, five hundred sixty-four million, six hundred twenty thousand, six hundred seventy-two".