90548800320 has 224 divisors, whose sum is σ = 313931076480. Its totient is φ = 21930024960.

The previous prime is 90548800291. The next prime is 90548800373. The reversal of 90548800320 is 2300884509.

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 31 ways as a sum of consecutive naturals, for example, 12805746 + ... + 12812814.

It is an arithmetic number, because the mean of its divisors is an integer number (1401478020).

Almost surely, 2^90548800320 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 90548800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156965538240).

90548800320 is an abundant number, since it is smaller than the sum of its proper divisors (223382276160).

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

90548800320 is a wasteful number, since it uses less digits than its factorization.

90548800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313 (or 8303 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 90548800320 in words is "ninety billion, five hundred forty-eight million, eight hundred thousand, three hundred twenty".