11399781120 has 1152 divisors, whose sum is σ = 50437416960. Its totient is φ = 2123366400.

The previous prime is 11399781119. The next prime is 11399781121. The reversal of 11399781120 is 2118799311.

11399781120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11399781119) and next prime (11399781121).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11399781121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 112869070 + ... + 112869170.

It is an arithmetic number, because the mean of its divisors is an integer number (43782480).

Almost surely, 2^11399781120 is an apocalyptic number.

11399781120 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 11399781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25218708480).

11399781120 is an abundant number, since it is smaller than the sum of its proper divisors (39037635840).

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

11399781120 is a wasteful number, since it uses less digits than its factorization.

11399781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 42.

The spelling of 11399781120 in words is "eleven billion, three hundred ninety-nine million, seven hundred eighty-one thousand, one hundred twenty".