90955953648000 has 2688 divisors, whose sum is σ = 403690832756640. Its totient is φ = 20300958720000.

The previous prime is 90955953647963. The next prime is 90955953648031. The reversal of 90955953648000 is 84635955909.

90955953648000 is a `hidden beast` number, since 9 + 0 + 9 + 5 + 59 + 536 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 335 ways as a sum of consecutive naturals, for example, 24576046150 + ... + 24576049850.

Almost surely, 2^{90955953648000} is an apocalyptic number.

90955953648000 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 90955953648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201845416378320).

90955953648000 is an abundant number, since it is smaller than the sum of its proper divisors (312734879108640).

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

90955953648000 is an equidigital number, since it uses as much as digits as its factorization.

90955953648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 90955953648000 in words is "ninety trillion, nine hundred fifty-five billion, nine hundred fifty-three million, six hundred forty-eight thousand".