90090455040 has 300 divisors, whose sum is σ = 323004896676. Its totient is φ = 24022351872.

The previous prime is 90090455029. The next prime is 90090455087. The reversal of 90090455040 is 4055409009.

It can be written as a sum of positive squares in 2 ways, for example, as 64817086464 + 25273368576 = 254592^2 + 158976^2 .

It is a super-2 number, since 2×90090455040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90090454986 and 90090455004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6628732 + ... + 6642308.

Almost surely, 2^90090455040 is an apocalyptic number.

90090455040 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 90090455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161502448338).

90090455040 is an abundant number, since it is smaller than the sum of its proper divisors (232914441636).

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

90090455040 is an equidigital number, since it uses as much as digits as its factorization.

90090455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13622 (or 13587 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 90090455040 in words is "ninety billion, ninety million, four hundred fifty-five thousand, forty".