9010506733200 has 480 divisors, whose sum is σ = 36798364753920. Its totient is φ = 2051334720000.

The previous prime is 9010506733157. The next prime is 9010506733271. The reversal of 9010506733200 is 23376050109.

9010506733200 is a `hidden beast` number, since 90 + 10 + 506 + 7 + 33 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18738177 + ... + 19213023.

It is an arithmetic number, because the mean of its divisors is an integer number (76663259904).

Almost surely, 2^{9010506733200} is an apocalyptic number.

9010506733200 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 9010506733200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18399182376960).

9010506733200 is an abundant number, since it is smaller than the sum of its proper divisors (27787858020720).

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

9010506733200 is a wasteful number, since it uses less digits than its factorization.

9010506733200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475132 (or 475115 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 9010506733200 in words is "nine trillion, ten billion, five hundred six million, seven hundred thirty-three thousand, two hundred".