90174998016000 has 2496 divisors, whose sum is σ = 355044839175936. Its totient is φ = 21932015616000.

The previous prime is 90174998015959. The next prime is 90174998016013. The reversal of 90174998016000 is 61089947109.

90174998016000 is a `hidden beast` number, since 9 + 0 + 17 + 499 + 80 + 1 + 60 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 539970047917 + ... + 539970048083.

It is an arithmetic number, because the mean of its divisors is an integer number (142245528516).

Almost surely, 2^{90174998016000} is an apocalyptic number.

90174998016000 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 90174998016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177522419587968).

90174998016000 is an abundant number, since it is smaller than the sum of its proper divisors (264869841159936).

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

90174998016000 is a wasteful number, since it uses less digits than its factorization.

90174998016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 90174998016000 in words is "ninety trillion, one hundred seventy-four billion, nine hundred ninety-eight million, sixteen thousand".