89584692480 has 216 divisors, whose sum is σ = 310519329120. Its totient is φ = 23845662720.

The previous prime is 89584692473. The next prime is 89584692493. The reversal of 89584692480 is 8429648598.

89584692480 is a `hidden beast` number, since 8 + 9 + 584 + 6 + 9 + 2 + 48 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6571111 + ... + 6584729.

Almost surely, 2^89584692480 is an apocalyptic number.

89584692480 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 89584692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155259664560).

89584692480 is an abundant number, since it is smaller than the sum of its proper divisors (220934636640).

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

89584692480 is a wasteful number, since it uses less digits than its factorization.

89584692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14217 (or 14200 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 89584692480 in words is "eighty-nine billion, five hundred eighty-four million, six hundred ninety-two thousand, four hundred eighty".