89784407922048 has 1152 divisors, whose sum is σ = 321005491279200. Its totient is φ = 23948547194880.

The previous prime is 89784407922031. The next prime is 89784407922059. The reversal of 89784407922048 is 84022970448798.

89784407922048 is a `hidden beast` number, since 8 + 9 + 7 + 8 + 4 + 407 + 9 + 2 + 204 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×89784407922048² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21936085890 + ... + 21936089982.

Almost surely, 2^{89784407922048} 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 89784407922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160502745639600).

89784407922048 is an abundant number, since it is smaller than the sum of its proper divisors (231221083357152).

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

89784407922048 is a wasteful number, since it uses less digits than its factorization.

89784407922048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 89784407922048 in words is "eighty-nine trillion, seven hundred eighty-four billion, four hundred seven million, nine hundred twenty-two thousand, forty-eight".