89117677440 has 1280 divisors, whose sum is σ = 381486283200. Its totient is φ = 19570360320.

The previous prime is 89117677427. The next prime is 89117677499. The reversal of 89117677440 is 4477671198.

It is a happy number.

89117677440 is a `hidden beast` number, since 89 + 117 + 6 + 7 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 281128162 + ... + 281128478.

Almost surely, 2^89117677440 is an apocalyptic number.

89117677440 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 89117677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190743141600).

89117677440 is an abundant number, since it is smaller than the sum of its proper divisors (292368605760).

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

89117677440 is a wasteful number, since it uses less digits than its factorization.

89117677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 89117677440 in words is "eighty-nine billion, one hundred seventeen million, six hundred seventy-seven thousand, four hundred forty".