90204009696 has 192 divisors, whose sum is σ = 272741333760. Its totient is φ = 28980840960.

The previous prime is 90204009673. The next prime is 90204009713. The reversal of 90204009696 is 69690040209.

It is a congruent number.

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, 3407391 + ... + 3433761.

It is an arithmetic number, because the mean of its divisors is an integer number (1420527780).

Almost surely, 2^90204009696 is an apocalyptic number.

90204009696 is a gapful number since it is divisible by the number (96) 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 90204009696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136370666880).

90204009696 is an abundant number, since it is smaller than the sum of its proper divisors (182537324064).

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

90204009696 is a wasteful number, since it uses less digits than its factorization.

90204009696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26534 (or 26520 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 90204009696 in words is "ninety billion, two hundred four million, nine thousand, six hundred ninety-six".