10002180384000 has 1728 divisors, whose sum is σ = 45448986885120. Its totient is φ = 2058013900800.

The previous prime is 10002180383981. The next prime is 10002180384029. The reversal of 10002180384000 is 48308120001.

10002180384000 is a `hidden beast` number, since 10 + 0 + 0 + 218 + 0 + 38 + 400 + 0 = 666.

It is a super-2 number, since 2×10002180384000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 788249656 + ... + 788262344.

It is an arithmetic number, because the mean of its divisors is an integer number (26301497040).

Almost surely, 2^{10002180384000} is an apocalyptic number.

10002180384000 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 10002180384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22724493442560).

10002180384000 is an abundant number, since it is smaller than the sum of its proper divisors (35446806501120).

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

10002180384000 is a wasteful number, since it uses less digits than its factorization.

10002180384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12773 (or 12746 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10002180384000 in words is "ten trillion, two billion, one hundred eighty million, three hundred eighty-four thousand".