89966371248000 has 3072 divisors, whose sum is σ = 374511756902400. Its totient is φ = 21194514432000.

The previous prime is 89966371247999. The next prime is 89966371248097. The reversal of 89966371248000 is 84217366998.

89966371248000 is a `hidden beast` number, since 8 + 9 + 96 + 63 + 7 + 1 + 2 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×89966371248000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 287432495844 + ... + 287432496156.

It is an arithmetic number, because the mean of its divisors is an integer number (121911379200).

Almost surely, 2^{89966371248000} is an apocalyptic number.

89966371248000 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 89966371248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187255878451200).

89966371248000 is an abundant number, since it is smaller than the sum of its proper divisors (284545385654400).

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

89966371248000 is a wasteful number, since it uses less digits than its factorization.

89966371248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 89966371248000 in words is "eighty-nine trillion, nine hundred sixty-six billion, three hundred seventy-one million, two hundred forty-eight thousand".