90132480000 has 640 divisors, whose sum is σ = 335759397600. Its totient is φ = 23887872000.

The previous prime is 90132479993. The next prime is 90132480019. The reversal of 90132480000 is 8423109.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 552959919 + ... + 552960081.

Almost surely, 2^90132480000 is an apocalyptic number.

90132480000 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 90132480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167879698800).

90132480000 is an abundant number, since it is smaller than the sum of its proper divisors (245626917600).

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

90132480000 is an frugal number, since it uses more digits than its factorization.

90132480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 90132480000 in words is "ninety billion, one hundred thirty-two million, four hundred eighty thousand".