55909728160 has 384 divisors, whose sum is σ = 159188779008. Its totient is φ = 18289152000.

The previous prime is 55909728131. The next prime is 55909728179. The reversal of 55909728160 is 6182790955.

55909728160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 55909728098 and 55909728107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206308825 + ... + 206309095.

It is an arithmetic number, because the mean of its divisors is an integer number (414554112).

Almost surely, 2^55909728160 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 55909728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79594389504).

55909728160 is an abundant number, since it is smaller than the sum of its proper divisors (103279050848).

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

55909728160 is a wasteful number, since it uses less digits than its factorization.

55909728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 52.

The spelling of 55909728160 in words is "fifty-five billion, nine hundred nine million, seven hundred twenty-eight thousand, one hundred sixty".