9010008000 has 896 divisors, whose sum is σ = 38799820800. Its totient is φ = 2004480000.

The previous prime is 9010007933. The next prime is 9010008001. The reversal of 9010008000 is 8000109.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9010008001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89207950 + ... + 89208050.

Almost surely, 2^9010008000 is an apocalyptic number.

9010008000 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 9010008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19399910400).

9010008000 is an abundant number, since it is smaller than the sum of its proper divisors (29789812800).

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

9010008000 is a wasteful number, since it uses less digits than its factorization.

9010008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 9010008000 is about 94921.0619409623. The cubic root of 9010008000 is about 2080.8545551748.

Adding to 9010008000 its reverse (8000109), we get a palindrome (9018008109).

The spelling of 9010008000 in words is "nine billion, ten million, eight thousand".