23180642850816 has 960 divisors, whose sum is σ = 79034385830400. Its totient is φ = 6700548096000.

The previous prime is 23180642850773. The next prime is 23180642850889. The reversal of 23180642850816 is 61805824608132.

23180642850816 is a `hidden beast` number, since 2 + 3 + 1 + 80 + 6 + 42 + 8 + 508 + 16 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25223767605 + ... + 25223768523.

It is an arithmetic number, because the mean of its divisors is an integer number (82327485240).

Almost surely, 2^{23180642850816} 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 23180642850816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39517192915200).

23180642850816 is an abundant number, since it is smaller than the sum of its proper divisors (55853742979584).

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

23180642850816 is a wasteful number, since it uses less digits than its factorization.

23180642850816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 23180642850816 in words is "twenty-three trillion, one hundred eighty billion, six hundred forty-two million, eight hundred fifty thousand, eight hundred sixteen".