11300693880 has 128 divisors (see below), whose sum is σ = 39690362880. Its totient is φ = 2520007680.

The previous prime is 11300693879. The next prime is 11300693923. The reversal of 11300693880 is 8839600311.

11300693880 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 31 ways as a sum of consecutive naturals, for example, 129624 + ... + 198503.

It is an arithmetic number, because the mean of its divisors is an integer number (310080960).

Almost surely, 2^11300693880 is an apocalyptic number.

11300693880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300693880 is an abundant number, since it is smaller than the sum of its proper divisors (28389669000).

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

11300693880 is a wasteful number, since it uses less digits than its factorization.

11300693880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328189 (or 328185 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 11300693880 in words is "eleven billion, three hundred million, six hundred ninety-three thousand, eight hundred eighty".