55632800300064 has 576 divisors, whose sum is σ = 168702222648960. Its totient is φ = 15999141150720.

The previous prime is 55632800300041. The next prime is 55632800300093. The reversal of 55632800300064 is 46000300823655.

It is a junction number, because it is equal to n+sod(n) for n = 55632800299989 and 55632800300025.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10076577624 + ... + 10076583144.

It is an arithmetic number, because the mean of its divisors is an integer number (292885803210).

Almost surely, 2^{55632800300064} 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 55632800300064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84351111324480).

55632800300064 is an abundant number, since it is smaller than the sum of its proper divisors (113069422348896).

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

55632800300064 is a wasteful number, since it uses less digits than its factorization.

55632800300064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6013 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 55632800300064 in words is "fifty-five trillion, six hundred thirty-two billion, eight hundred million, three hundred thousand, sixty-four".