11239671859440 has 320 divisors, whose sum is σ = 36014936325120. Its totient is φ = 2897535836160.

The previous prime is 11239671859433. The next prime is 11239671859441. The reversal of 11239671859440 is 4495817693211.

It is a super-2 number, since 2×11239671859440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11239671859441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 895799247 + ... + 895811793.

It is an arithmetic number, because the mean of its divisors is an integer number (112546676016).

It is a 1-persistent number, because it is pandigital, but 2⋅11239671859440 = 22479343718880 is not.

Almost surely, 2^{11239671859440} is an apocalyptic number.

11239671859440 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 11239671859440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18007468162560).

11239671859440 is an abundant number, since it is smaller than the sum of its proper divisors (24775264465680).

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

11239671859440 is a wasteful number, since it uses less digits than its factorization.

11239671859440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13240 (or 13234 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 11239671859440 in words is "eleven trillion, two hundred thirty-nine billion, six hundred seventy-one million, eight hundred fifty-nine thousand, four hundred forty".