9138876235200 has 672 divisors, whose sum is σ = 34953323479040. Its totient is φ = 2319736320000.

The previous prime is 9138876235189. The next prime is 9138876235271. The reversal of 9138876235200 is 25326788319.

9138876235200 is a `hidden beast` number, since 9 + 1 + 3 + 8 + 8 + 7 + 623 + 5 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 81635265 + ... + 81747135.

Almost surely, 2^{9138876235200} is an apocalyptic number.

9138876235200 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 9138876235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476661739520).

9138876235200 is an abundant number, since it is smaller than the sum of its proper divisors (25814447243840).

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

9138876235200 is a wasteful number, since it uses less digits than its factorization.

9138876235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111994 (or 111973 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 9138876235200 in words is "nine trillion, one hundred thirty-eight billion, eight hundred seventy-six million, two hundred thirty-five thousand, two hundred".