898888404960 has 1152 divisors, whose sum is σ = 3947855708160. Its totient is φ = 181149696000.

The previous prime is 898888404941. The next prime is 898888404961. The reversal of 898888404960 is 69404888898.

898888404960 is a `hidden beast` number, since 8 + 9 + 88 + 88 + 404 + 9 + 60 = 666.

898888404960 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (898888404961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 320915560 + ... + 320918360.

It is an arithmetic number, because the mean of its divisors is an integer number (3426958080).

Almost surely, 2^898888404960 is an apocalyptic number.

898888404960 is a gapful number since it is divisible by the number (80) 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 898888404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973927854080).

898888404960 is an abundant number, since it is smaller than the sum of its proper divisors (3048967303200).

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

898888404960 is a wasteful number, since it uses less digits than its factorization.

898888404960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 72.

The spelling of 898888404960 in words is "eight hundred ninety-eight billion, eight hundred eighty-eight million, four hundred four thousand, nine hundred sixty".