11438359920 has 640 divisors, whose sum is σ = 44277166080. Its totient is φ = 2729935872.

The previous prime is 11438359871. The next prime is 11438359927. The reversal of 11438359920 is 2995383411.

It is a happy number.

11438359920 is a `hidden beast` number, since 1 + 1 + 4 + 38 + 3 + 599 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11438359927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106900507 + ... + 106900613.

It is an arithmetic number, because the mean of its divisors is an integer number (69183072).

Almost surely, 2^11438359920 is an apocalyptic number.

11438359920 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 11438359920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138583040).

11438359920 is an abundant number, since it is smaller than the sum of its proper divisors (32838806160).

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

11438359920 is a wasteful number, since it uses less digits than its factorization.

11438359920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11438359920 in words is "eleven billion, four hundred thirty-eight million, three hundred fifty-nine thousand, nine hundred twenty".