11376409500 has 504 divisors, whose sum is σ = 39602188080. Its totient is φ = 2852625600.

The previous prime is 11376409487. The next prime is 11376409601. The reversal of 11376409500 is 590467311.

11376409500 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 640 + 9 + 5 + 0 + 0 = 666.

11376409500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11376409500² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 192820471 + ... + 192820529.

It is an arithmetic number, because the mean of its divisors is an integer number (78575770).

Almost surely, 2^11376409500 is an apocalyptic number.

11376409500 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 11376409500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19801094040).

11376409500 is an abundant number, since it is smaller than the sum of its proper divisors (28225778580).

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

11376409500 is an equidigital number, since it uses as much as digits as its factorization.

11376409500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11376409500 in words is "eleven billion, three hundred seventy-six million, four hundred nine thousand, five hundred".