8535408090 has 64 divisors (see below), whose sum is σ = 22409809920. Its totient is φ = 2063397440.

The previous prime is 8535408067. The next prime is 8535408137. The reversal of 8535408090 is 908045358.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82447 + ... + 154493.

It is an arithmetic number, because the mean of its divisors is an integer number (350153280).

Almost surely, 2^8535408090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8535408090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11204904960).

8535408090 is an abundant number, since it is smaller than the sum of its proper divisors (13874401830).

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

8535408090 is a wasteful number, since it uses less digits than its factorization.

8535408090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72427.

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 8535408090 is about 92387.2723376981. The cubic root of 8535408090 is about 2043.6574214627.

The spelling of 8535408090 in words is "eight billion, five hundred thirty-five million, four hundred eight thousand, ninety".