11378251500 has 768 divisors, whose sum is σ = 44281036800. Its totient is φ = 2201472000.

The previous prime is 11378251481. The next prime is 11378251531. The reversal of 11378251500 is 515287311.

11378251500 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 (33).

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 255 ways as a sum of consecutive naturals, for example, 144028461 + ... + 144028539.

It is an arithmetic number, because the mean of its divisors is an integer number (57657600).

Almost surely, 2^11378251500 is an apocalyptic number.

11378251500 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 11378251500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22140518400).

11378251500 is an abundant number, since it is smaller than the sum of its proper divisors (32902785300).

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

11378251500 is a wasteful number, since it uses less digits than its factorization.

11378251500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The spelling of 11378251500 in words is "eleven billion, three hundred seventy-eight million, two hundred fifty-one thousand, five hundred".