53090479808160 has 768 divisors, whose sum is σ = 185620247543808. Its totient is φ = 12699987148800.

The previous prime is 53090479808141. The next prime is 53090479808227. The reversal of 53090479808160 is 6180897409035.

53090479808160 is digitally balanced in base 6, 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 (60).

It is a junction number, because it is equal to n+sod(n) for n = 53090479808094 and 53090479808103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2718257595 + ... + 2718277125.

It is an arithmetic number, because the mean of its divisors is an integer number (241693030656).

Almost surely, 2^{53090479808160} 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 53090479808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92810123771904).

53090479808160 is an abundant number, since it is smaller than the sum of its proper divisors (132529767735648).

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

53090479808160 is a wasteful number, since it uses less digits than its factorization.

53090479808160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19797 (or 19789 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 53090479808160 in words is "fifty-three trillion, ninety billion, four hundred seventy-nine million, eight hundred eight thousand, one hundred sixty".