90921600000 has 1584 divisors, whose sum is σ = 419096426112. Its totient is φ = 18432000000.

The previous prime is 90921599999. The next prime is 90921600019. The reversal of 90921600000 is 612909.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1584).

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 143 ways as a sum of consecutive naturals, for example, 2217599980 + ... + 2217600020.

Almost surely, 2^90921600000 is an apocalyptic number.

90921600000 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 90921600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209548213056).

90921600000 is an abundant number, since it is smaller than the sum of its proper divisors (328174826112).

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

90921600000 is a wasteful number, since it uses less digits than its factorization.

90921600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

It can be divided in two parts, 90 and 921600000, that multiplied together give a square (82944000000 = 288000²).

The spelling of 90921600000 in words is "ninety billion, nine hundred twenty-one million, six hundred thousand".