90986363043840 has 2400 divisors, whose sum is σ = 366593287027968. Its totient is φ = 21403533312000.

The previous prime is 90986363043833. The next prime is 90986363043853. The reversal of 90986363043840 is 4834036368909.

90986363043840 is a `hidden beast` number, since 90 + 9 + 86 + 3 + 6 + 30 + 438 + 4 + 0 = 666.

It is a congruent number.

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, 502687088550 + ... + 502687088730.

Almost surely, 2^{90986363043840} is an apocalyptic number.

90986363043840 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 90986363043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183296643513984).

90986363043840 is an abundant number, since it is smaller than the sum of its proper divisors (275606923984128).

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

90986363043840 is a wasteful number, since it uses less digits than its factorization.

90986363043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 90986363043840 in words is "ninety trillion, nine hundred eighty-six billion, three hundred sixty-three million, forty-three thousand, eight hundred forty".