90026280000 has 210 divisors, whose sum is σ = 322453167894. Its totient is φ = 24006912000.

The previous prime is 90026279999. The next prime is 90026280037. The reversal of 90026280000 is 8262009.

It can be written as a sum of positive squares in 5 ways, for example, as 43287299136 + 46738980864 = 208056^2 + 216192^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 234964 + ... + 485036.

Almost surely, 2^90026280000 is an apocalyptic number.

90026280000 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 90026280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161226583947).

90026280000 is an abundant number, since it is smaller than the sum of its proper divisors (232426887894).

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

90026280000 is a wasteful number, since it uses less digits than its factorization.

90026280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250111 (or 250083 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 90026280000 in words is "ninety billion, twenty-six million, two hundred eighty thousand".