90807786455040 has 720 divisors, whose sum is σ = 332173548907200. Its totient is φ = 22901931638784.

The previous prime is 90807786454997. The next prime is 90807786455077. The reversal of 90807786455040 is 4055468770809.

90807786455040 is a `hidden beast` number, since 9 + 0 + 8 + 0 + 7 + 7 + 86 + 45 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1509182076 + ... + 1509242244.

It is an arithmetic number, because the mean of its divisors is an integer number (461352151260).

Almost surely, 2^{90807786455040} is an apocalyptic number.

90807786455040 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 90807786455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166086774453600).

90807786455040 is an abundant number, since it is smaller than the sum of its proper divisors (241365762452160).

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

90807786455040 is a wasteful number, since it uses less digits than its factorization.

90807786455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60320 (or 60291 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 90807786455040 in words is "ninety trillion, eight hundred seven billion, seven hundred eighty-six million, four hundred fifty-five thousand, forty".