10836917047200 has 144 divisors (see below), whose sum is σ = 36807824523456. Its totient is φ = 2764199116800.

The previous prime is 10836917047163. The next prime is 10836917047241. The reversal of 10836917047200 is 274071963801.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10836917047200.

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 23 ways as a sum of consecutive naturals, for example, 98105281 + ... + 98215680.

It is an arithmetic number, because the mean of its divisors is an integer number (255609892524).

Almost surely, 2^{10836917047200} is an apocalyptic number.

10836917047200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10836917047200 is an abundant number, since it is smaller than the sum of its proper divisors (25970907476256).

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

10836917047200 is a wasteful number, since it uses less digits than its factorization.

10836917047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196321007 (or 196320994 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 10836917047200 in words is "ten trillion, eight hundred thirty-six billion, nine hundred seventeen million, forty-seven thousand, two hundred".