90023502643200 has 960 divisors, whose sum is σ = 381149627503920. Its totient is φ = 20576694435840.

The previous prime is 90023502643187. The next prime is 90023502643231. The reversal of 90023502643200 is 234620532009.

It is a happy number.

90023502643200 is a `hidden beast` number, since 9 + 0 + 0 + 2 + 3 + 5 + 0 + 2 + 643 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 464389494 + ... + 464583306.

Almost surely, 2^{90023502643200} is an apocalyptic number.

90023502643200 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 90023502643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190574813751960).

90023502643200 is an abundant number, since it is smaller than the sum of its proper divisors (291126124860720).

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

90023502643200 is an equidigital number, since it uses as much as digits as its factorization.

90023502643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193872 (or 193830 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 90023502643200 in words is "ninety trillion, twenty-three billion, five hundred two million, six hundred forty-three thousand, two hundred".