9002875238400 has 288 divisors, whose sum is σ = 29843522392320. Its totient is φ = 2394210140160.

The previous prime is 9002875238387. The next prime is 9002875238419. The reversal of 9002875238400 is 48325782009.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9002875238400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56291347 + ... + 56451053.

It is an arithmetic number, because the mean of its divisors is an integer number (103623341640).

Almost surely, 2^{9002875238400} 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 9002875238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14921761196160).

9002875238400 is an abundant number, since it is smaller than the sum of its proper divisors (20840647153920).

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

9002875238400 is a wasteful number, since it uses less digits than its factorization.

9002875238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160109 (or 160084 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 9002875238400 in words is "nine trillion, two billion, eight hundred seventy-five million, two hundred thirty-eight thousand, four hundred".