90968855040 has 480 divisors, whose sum is σ = 381249348480. Its totient is φ = 19569180672.

The previous prime is 90968854997. The next prime is 90968855051. The reversal of 90968855040 is 4055886909.

It is a happy number.

90968855040 is a `hidden beast` number, since 9 + 0 + 9 + 6 + 88 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2725171 + ... + 2758349.

It is an arithmetic number, because the mean of its divisors is an integer number (794269476).

Almost surely, 2^90968855040 is an apocalyptic number.

90968855040 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 90968855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190624674240).

90968855040 is an abundant number, since it is smaller than the sum of its proper divisors (290280493440).

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

90968855040 is a wasteful number, since it uses less digits than its factorization.

90968855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33232 (or 33213 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 90968855040 in words is "ninety billion, nine hundred sixty-eight million, eight hundred fifty-five thousand, forty".