11364282900 has 108 divisors (see below), whose sum is σ = 35680008000. Its totient is φ = 3025431360.

The previous prime is 11364282899. The next prime is 11364282913. The reversal of 11364282900 is 928246311.

11364282900 is a `hidden beast` number, since 1 + 1 + 3 + 642 + 8 + 2 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 546901 + ... + 567299.

Almost surely, 2^11364282900 is an apocalyptic number.

11364282900 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 11364282900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17840004000).

11364282900 is an abundant number, since it is smaller than the sum of its proper divisors (24315725100).

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

11364282900 is a wasteful number, since it uses less digits than its factorization.

11364282900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21038 (or 21028 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11364282900 in words is "eleven billion, three hundred sixty-four million, two hundred eighty-two thousand, nine hundred".