90513408000 has 544 divisors, whose sum is σ = 314067087360. Its totient is φ = 23121100800.

The previous prime is 90513407947. The next prime is 90513408017. The reversal of 90513408000 is 80431509.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 712703937 + ... + 712704063.

Almost surely, 2^90513408000 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 90513408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157033543680).

90513408000 is an abundant number, since it is smaller than the sum of its proper divisors (223553679360).

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

90513408000 is an equidigital number, since it uses as much as digits as its factorization.

90513408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 90513408000 its reverse (80431509), we get a palindrome (90593839509).

The spelling of 90513408000 in words is "ninety billion, five hundred thirteen million, four hundred eight thousand".