11130364400210 has 64 divisors (see below), whose sum is σ = 22611270528000. Its totient is φ = 3908119756800.

The previous prime is 11130364400201. The next prime is 11130364400227. The reversal of 11130364400210 is 1200446303111.

It is a happy number.

It is a super-2 number, since 2×11130364400210² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11130364400210.

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 31 ways as a sum of consecutive naturals, for example, 2103695 + ... + 5165874.

It is an arithmetic number, because the mean of its divisors is an integer number (353301102000).

Almost surely, 2^{11130364400210} is an apocalyptic number.

11130364400210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11130364400210 is an abundant number, since it is smaller than the sum of its proper divisors (11480906127790).

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

11130364400210 is a wasteful number, since it uses less digits than its factorization.

11130364400210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7270067.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 11130364400210 in words is "eleven trillion, one hundred thirty billion, three hundred sixty-four million, four hundred thousand, two hundred ten".