90010009980000 has 1080 divisors, whose sum is σ = 351969352678944. Its totient is φ = 21796220160000.

The previous prime is 90010009979983. The next prime is 90010009980013. The reversal of 90010009980000 is 8990001009.

90010009980000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 26419138297 + ... + 26419141703.

Almost surely, 2^{90010009980000} is an apocalyptic number.

90010009980000 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 90010009980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175984676339472).

90010009980000 is an abundant number, since it is smaller than the sum of its proper divisors (261959342698944).

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

90010009980000 is a wasteful number, since it uses less digits than its factorization.

90010009980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

Adding to 90010009980000 its reverse (8990001009), we get a palindrome (90018999981009).

The spelling of 90010009980000 in words is "ninety trillion, ten billion, nine million, nine hundred eighty thousand".