10117823324000 has 192 divisors, whose sum is σ = 28416820723200. Its totient is φ = 3468238732800.

The previous prime is 10117823323981. The next prime is 10117823324051. The reversal of 10117823324000 is 42332871101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142736567 + ... + 142807433.

It is an arithmetic number, because the mean of its divisors is an integer number (148004274600).

Almost surely, 2^{10117823324000} is an apocalyptic number.

10117823324000 is a gapful number since it is divisible by the number (10) 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 10117823324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14208410361600).

10117823324000 is an abundant number, since it is smaller than the sum of its proper divisors (18298997399200).

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

10117823324000 is an equidigital number, since it uses as much as digits as its factorization.

10117823324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75998 (or 75980 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 10117823324000 in words is "ten trillion, one hundred seventeen billion, eight hundred twenty-three million, three hundred twenty-four thousand".