90391641500160 has 1600 divisors, whose sum is σ = 434692084425984. Its totient is φ = 17337817497600.

The previous prime is 90391641500101. The next prime is 90391641500177. The reversal of 90391641500160 is 6100514619309.

90391641500160 is a `hidden beast` number, since 9 + 0 + 3 + 91 + 6 + 41 + 500 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 207349620 + ... + 207785100.

Almost surely, 2^{90391641500160} is an apocalyptic number.

90391641500160 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 90391641500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217346042212992).

90391641500160 is an abundant number, since it is smaller than the sum of its proper divisors (344300442925824).

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

90391641500160 is a wasteful number, since it uses less digits than its factorization.

90391641500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435547 (or 435522 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 90391641500160 in words is "ninety trillion, three hundred ninety-one billion, six hundred forty-one million, five hundred thousand, one hundred sixty".