9000875520 has 1120 divisors, whose sum is σ = 40575028032. Its totient is φ = 1863254016.

The previous prime is 9000875519. The next prime is 9000875531. The reversal of 9000875520 is 255780009.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 169827814 + ... + 169827866.

Almost surely, 2^9000875520 is an apocalyptic number.

9000875520 is a gapful number since it is divisible by the number (90) 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 9000875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20287514016).

9000875520 is an abundant number, since it is smaller than the sum of its proper divisors (31574152512).

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

9000875520 is an equidigital number, since it uses as much as digits as its factorization.

9000875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 9000875520 is about 94872.9440883965. The cubic root of 9000875520 is about 2080.1512710496.

The spelling of 9000875520 in words is "nine billion, eight hundred seventy-five thousand, five hundred twenty".