10860416600800 has 144 divisors (see below), whose sum is σ = 28567716049152. Its totient is φ = 4007856384000.

The previous prime is 10860416600791. The next prime is 10860416600879. The reversal of 10860416600800 is 800661406801.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19242625 + ... + 19798975.

It is an arithmetic number, because the mean of its divisors is an integer number (198386917008).

Almost surely, 2^{10860416600800} is an apocalyptic number.

10860416600800 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 10860416600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14283858024576).

10860416600800 is an abundant number, since it is smaller than the sum of its proper divisors (17707299448352).

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

10860416600800 is a wasteful number, since it uses less digits than its factorization.

10860416600800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558261 (or 558248 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 10860416600800 in words is "ten trillion, eight hundred sixty billion, four hundred sixteen million, six hundred thousand, eight hundred".