90998553943440 has 640 divisors, whose sum is σ = 389897569958400. Its totient is φ = 19165469736960.

The previous prime is 90998553943433. The next prime is 90998553943463. The reversal of 90998553943440 is 4434935589909.

90998553943440 is a `hidden beast` number, since 9 + 0 + 9 + 9 + 8 + 5 + 539 + 43 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3413985 + ... + 13915904.

It is an arithmetic number, because the mean of its divisors is an integer number (609214953060).

Almost surely, 2^{90998553943440} is an apocalyptic number.

90998553943440 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 90998553943440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194948784979200).

90998553943440 is an abundant number, since it is smaller than the sum of its proper divisors (298899016014960).

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

90998553943440 is a wasteful number, since it uses less digits than its factorization.

90998553943440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17329952 (or 17329940 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 90998553943440 in words is "ninety trillion, nine hundred ninety-eight billion, five hundred fifty-three million, nine hundred forty-three thousand, four hundred forty".