11306610400 has 36 divisors (see below), whose sum is σ = 27602264592. Its totient is φ = 4522643840.

The previous prime is 11306610391. The next prime is 11306610431. The reversal of 11306610400 is 401660311.

It is a happy number.

11306610400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 5 ways as a sum of consecutive naturals, for example, 7065832 + ... + 7067431.

It is an arithmetic number, because the mean of its divisors is an integer number (766729572).

Almost surely, 2^11306610400 is an apocalyptic number.

11306610400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11306610400 is an abundant number, since it is smaller than the sum of its proper divisors (16295654192).

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

11306610400 is a wasteful number, since it uses less digits than its factorization.

11306610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14133283 (or 14133270 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 11306610400 in words is "eleven billion, three hundred six million, six hundred ten thousand, four hundred".