89167984920 has 224 divisors, whose sum is σ = 343777180320. Its totient is φ = 20381207040.

The previous prime is 89167984909. The next prime is 89167984937. The reversal of 89167984920 is 2948976198.

89167984920 is a `hidden beast` number, since 89 + 1 + 67 + 9 + 8 + 492 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 14301 + ... + 422540.

It is an arithmetic number, because the mean of its divisors is an integer number (1534719555).

Almost surely, 2^89167984920 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 89167984920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171888590160).

89167984920 is an abundant number, since it is smaller than the sum of its proper divisors (254609195400).

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

89167984920 is a wasteful number, since it uses less digits than its factorization.

89167984920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436877 (or 436858 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 89167984920 in words is "eighty-nine billion, one hundred sixty-seven million, nine hundred eighty-four thousand, nine hundred twenty".