90189288000 has 1120 divisors, whose sum is σ = 388930164480. Its totient is φ = 20205158400.

The previous prime is 90189287999. The next prime is 90189288037. The reversal of 90189288000 is 88298109.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 267623832 + ... + 267624168.

Almost surely, 2^90189288000 is an apocalyptic number.

90189288000 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 90189288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194465082240).

90189288000 is an abundant number, since it is smaller than the sum of its proper divisors (298740876480).

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

90189288000 is a wasteful number, since it uses less digits than its factorization.

90189288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 90189288000 in words is "ninety billion, one hundred eighty-nine million, two hundred eighty-eight thousand".