904128617160 has 256 divisors, whose sum is σ = 3063250944000. Its totient is φ = 237164578560.

The previous prime is 904128617159. The next prime is 904128617257. The reversal of 904128617160 is 61716821409.

904128617160 is a `hidden beast` number, since 9 + 0 + 4 + 1 + 28 + 617 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23102169 + ... + 23141271.

It is an arithmetic number, because the mean of its divisors is an integer number (11965824000).

Almost surely, 2^904128617160 is an apocalyptic number.

904128617160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904128617160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531625472000).

904128617160 is an abundant number, since it is smaller than the sum of its proper divisors (2159122326840).

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

904128617160 is a wasteful number, since it uses less digits than its factorization.

904128617160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39473 (or 39463 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 904128617160 in words is "nine hundred four billion, one hundred twenty-eight million, six hundred seventeen thousand, one hundred sixty".