90363285936000 has 6144 divisors, whose sum is σ = 451025003520000. Its totient is φ = 17342595072000.

The previous prime is 90363285935971. The next prime is 90363285936019. The reversal of 90363285936000 is 63958236309.

90363285936000 is a `hidden beast` number, since 9 + 0 + 3 + 6 + 3 + 28 + 5 + 9 + 3 + 600 + 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 (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 454086863901 + ... + 454086864099.

It is an arithmetic number, because the mean of its divisors is an integer number (73409017500).

Almost surely, 2^{90363285936000} is an apocalyptic number.

90363285936000 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 90363285936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225512501760000).

90363285936000 is an abundant number, since it is smaller than the sum of its proper divisors (360661717584000).

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

90363285936000 is a wasteful number, since it uses less digits than its factorization.

90363285936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 90363285936000 in words is "ninety trillion, three hundred sixty-three billion, two hundred eighty-five million, nine hundred thirty-six thousand".