10008860477184 has 288 divisors, whose sum is σ = 30685234406400. Its totient is φ = 3215690588160.

The previous prime is 10008860477131. The next prime is 10008860477197. The reversal of 10008860477184 is 48177406880001.

10008860477184 is a `hidden beast` number, since 10 + 0 + 0 + 8 + 8 + 604 + 7 + 7 + 18 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10008860477184.

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, 23308777 + ... + 23734295.

It is an arithmetic number, because the mean of its divisors is an integer number (106545952800).

Almost surely, 2^{10008860477184} 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 10008860477184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15342617203200).

10008860477184 is an abundant number, since it is smaller than the sum of its proper divisors (20676373929216).

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

10008860477184 is an equidigital number, since it uses as much as digits as its factorization.

10008860477184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425668 (or 425648 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 10008860477184 in words is "ten trillion, eight billion, eight hundred sixty million, four hundred seventy-seven thousand, one hundred eighty-four".