90506325504 has 320 divisors, whose sum is σ = 300084364800. Its totient is φ = 23651647488.

The previous prime is 90506325451. The next prime is 90506325563. The reversal of 90506325504 is 40552360509.

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, 5916714 + ... + 5931990.

It is an arithmetic number, because the mean of its divisors is an integer number (937763640).

Almost surely, 2^90506325504 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 90506325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150042182400).

90506325504 is an abundant number, since it is smaller than the sum of its proper divisors (209578039296).

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

90506325504 is a wasteful number, since it uses less digits than its factorization.

90506325504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15353 (or 15337 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 90506325504 in words is "ninety billion, five hundred six million, three hundred twenty-five thousand, five hundred four".