90335202048000 has 3840 divisors, whose sum is σ = 423341414496000. Its totient is φ = 19040226508800.

The previous prime is 90335202047999. The next prime is 90335202048103. The reversal of 90335202048000 is 84020253309.

90335202048000 is a `hidden beast` number, since 9 + 0 + 33 + 520 + 20 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 92461823512 + ... + 92461824488.

It is an arithmetic number, because the mean of its divisors is an integer number (110245160025).

Almost surely, 2^{90335202048000} is an apocalyptic number.

90335202048000 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 90335202048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211670707248000).

90335202048000 is an abundant number, since it is smaller than the sum of its proper divisors (333006212448000).

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

90335202048000 is an equidigital number, since it uses as much as digits as its factorization.

90335202048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 90335202048000 in words is "ninety trillion, three hundred thirty-five billion, two hundred two million, forty-eight thousand".