90839889504000 has 9216 divisors, whose sum is σ = 475694069760000. Its totient is φ = 16855282483200.

The previous prime is 90839889503971. The next prime is 90839889504031. The reversal of 90839889504000 is 40598893809.

90839889504000 is a `hidden beast` number, since 90 + 8 + 3 + 98 + 8 + 9 + 50 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 1244382047964 + ... + 1244382048036.

It is an arithmetic number, because the mean of its divisors is an integer number (51616110000).

Almost surely, 2^{90839889504000} is an apocalyptic number.

90839889504000 is a gapful number since it is divisible by the number (90) 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 90839889504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237847034880000).

90839889504000 is an abundant number, since it is smaller than the sum of its proper divisors (384854180256000).

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

90839889504000 is a wasteful number, since it uses less digits than its factorization.

90839889504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 90839889504000 in words is "ninety trillion, eight hundred thirty-nine billion, eight hundred eighty-nine million, five hundred four thousand".