90430912000 has 640 divisors, whose sum is σ = 272504808576. Its totient is φ = 29491200000.

The previous prime is 90430911943. The next prime is 90430912027. The reversal of 90430912000 is 21903409.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 90430912000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 375231880 + ... + 375232120.

Almost surely, 2^90430912000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90430912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136252404288).

90430912000 is an abundant number, since it is smaller than the sum of its proper divisors (182073896576).

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

90430912000 is a wasteful number, since it uses less digits than its factorization.

90430912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 90430912000 in words is "ninety billion, four hundred thirty million, nine hundred twelve thousand".