11364107000 has 64 divisors (see below), whose sum is σ = 26610292800. Its totient is φ = 4542518400.

The previous prime is 11364106991. The next prime is 11364107023. The reversal of 11364107000 is 70146311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1930061 + ... + 1935939.

It is an arithmetic number, because the mean of its divisors is an integer number (415785825).

Almost surely, 2^11364107000 is an apocalyptic number.

11364107000 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 11364107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305146400).

11364107000 is an abundant number, since it is smaller than the sum of its proper divisors (15246185800).

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

11364107000 is a wasteful number, since it uses less digits than its factorization.

11364107000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The spelling of 11364107000 in words is "eleven billion, three hundred sixty-four million, one hundred seven thousand".