90240708096 has 900 divisors, whose sum is σ = 345330803664. Its totient is φ = 23375278080.

The previous prime is 90240708083. The next prime is 90240708113. The reversal of 90240708096 is 69080704209.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 245887305 + ... + 245887671.

Almost surely, 2^90240708096 is an apocalyptic number.

90240708096 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 90240708096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172665401832).

90240708096 is an abundant number, since it is smaller than the sum of its proper divisors (255090095568).

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

90240708096 is a wasteful number, since it uses less digits than its factorization.

90240708096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 90240708096 in words is "ninety billion, two hundred forty million, seven hundred eight thousand, ninety-six".