55908802560 has 448 divisors, whose sum is σ = 199049518080. Its totient is φ = 13306429440.

The previous prime is 55908802531. The next prime is 55908802561. The reversal of 55908802560 is 6520880955.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (55908802561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49520076 + ... + 49521204.

It is an arithmetic number, because the mean of its divisors is an integer number (444306960).

Almost surely, 2^55908802560 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 55908802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99524759040).

55908802560 is an abundant number, since it is smaller than the sum of its proper divisors (143140715520).

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

55908802560 is a wasteful number, since it uses less digits than its factorization.

55908802560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 55908802560 in words is "fifty-five billion, nine hundred eight million, eight hundred two thousand, five hundred sixty".