10864371423360 has 768 divisors, whose sum is σ = 43194545602560. Its totient is φ = 2274153283584.

The previous prime is 10864371423299. The next prime is 10864371423419. The reversal of 10864371423360 is 6332417346801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288443889 + ... + 288481551.

It is an arithmetic number, because the mean of its divisors is an integer number (56242897920).

Almost surely, 2^{10864371423360} is an apocalyptic number.

10864371423360 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 10864371423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21597272801280).

10864371423360 is an abundant number, since it is smaller than the sum of its proper divisors (32330174179200).

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

10864371423360 is a wasteful number, since it uses less digits than its factorization.

10864371423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37845 (or 37820 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 10864371423360 in words is "ten trillion, eight hundred sixty-four billion, three hundred seventy-one million, four hundred twenty-three thousand, three hundred sixty".