90419926080 has 448 divisors, whose sum is σ = 321810278400. Its totient is φ = 21324103680.

The previous prime is 90419926057. The next prime is 90419926147. The reversal of 90419926080 is 8062991409.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64172416 + ... + 64173824.

Almost surely, 2^90419926080 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 90419926080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160905139200).

90419926080 is an abundant number, since it is smaller than the sum of its proper divisors (231390352320).

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

90419926080 is a wasteful number, since it uses less digits than its factorization.

90419926080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 90419926080 in words is "ninety billion, four hundred nineteen million, nine hundred twenty-six thousand, eighty".