11387079900 has 288 divisors, whose sum is σ = 41946759680. Its totient is φ = 2595939840.

The previous prime is 11387079889. The next prime is 11387079923. The reversal of 11387079900 is 997078311.

11387079900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 12152232 + ... + 12153168.

Almost surely, 2^11387079900 is an apocalyptic number.

11387079900 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 11387079900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20973379840).

11387079900 is an abundant number, since it is smaller than the sum of its proper divisors (30559679780).

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

11387079900 is a wasteful number, since it uses less digits than its factorization.

11387079900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 11387079900 in words is "eleven billion, three hundred eighty-seven million, seventy-nine thousand, nine hundred".