89238804480 has 1152 divisors, whose sum is σ = 382678732800. Its totient is φ = 18770558976.

The previous prime is 89238804469. The next prime is 89238804491. The reversal of 89238804480 is 8440883298.

89238804480 is a `hidden beast` number, since 8 + 92 + 38 + 80 + 448 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (89238804469) and next prime (89238804491).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 866396109 + ... + 866396211.

It is an arithmetic number, because the mean of its divisors is an integer number (332186400).

Almost surely, 2^89238804480 is an apocalyptic number.

89238804480 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 89238804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191339366400).

89238804480 is an abundant number, since it is smaller than the sum of its proper divisors (293439928320).

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

89238804480 is a wasteful number, since it uses less digits than its factorization.

89238804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 89238804480 in words is "eighty-nine billion, two hundred thirty-eight million, eight hundred four thousand, four hundred eighty".