90089190840 has 256 divisors, whose sum is σ = 310774579200. Its totient is φ = 20662387200.

The previous prime is 90089190833. The next prime is 90089190847. The reversal of 90089190840 is 4809198009.

90089190840 = T₂₂₆ + T₂₂₇ + ... + T₈₁₄₅.

It is an interprime number because it is at equal distance from previous prime (90089190833) and next prime (90089190847).

It is a self number, because there is not a number n which added to its sum of digits gives 90089190840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90089190847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22845909 + ... + 22849851.

It is an arithmetic number, because the mean of its divisors is an integer number (1213963200).

Almost surely, 2^90089190840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90089190840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155387289600).

90089190840 is an abundant number, since it is smaller than the sum of its proper divisors (220685388360).

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

90089190840 is a wasteful number, since it uses less digits than its factorization.

90089190840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 90089190840 in words is "ninety billion, eighty-nine million, one hundred ninety thousand, eight hundred forty".