55288515089808 has 3840 divisors, whose sum is σ = 237603992371200. Its totient is φ = 11972302848000.

The previous prime is 55288515089741. The next prime is 55288515089809. The reversal of 55288515089808 is 80898051588255.

55288515089808 is a `hidden beast` number, since 5 + 5 + 28 + 8 + 5 + 1 + 508 + 98 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55288515089809) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 204016660713 + ... + 204016660983.

It is an arithmetic number, because the mean of its divisors is an integer number (61876039680).

Almost surely, 2^{55288515089808} 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 55288515089808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118801996185600).

55288515089808 is an abundant number, since it is smaller than the sum of its proper divisors (182315477281392).

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

55288515089808 is a wasteful number, since it uses less digits than its factorization.

55288515089808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 368640000, while the sum is 72.

The spelling of 55288515089808 in words is "fifty-five trillion, two hundred eighty-eight billion, five hundred fifteen million, eighty-nine thousand, eight hundred eight".