89866506240 has 1040 divisors, whose sum is σ = 376780757760. Its totient is φ = 20065812480.

The previous prime is 89866506239. The next prime is 89866506251. The reversal of 89866506240 is 4260566898.

It is a happy number.

89866506240 is a `hidden beast` number, since 8 + 9 + 8 + 6 + 6 + 5 + 0 + 624 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 824463306 + ... + 824463414.

Almost surely, 2^89866506240 is an apocalyptic number.

89866506240 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 89866506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188390378880).

89866506240 is an abundant number, since it is smaller than the sum of its proper divisors (286914251520).

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

89866506240 is a wasteful number, since it uses less digits than its factorization.

89866506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 89866506240 in words is "eighty-nine billion, eight hundred sixty-six million, five hundred six thousand, two hundred forty".