11839426560 has 728 divisors, whose sum is σ = 46625989704. Its totient is φ = 2866544640.

The previous prime is 11839426549. The next prime is 11839426583. The reversal of 11839426560 is 6562493811.

11839426560 is a `hidden beast` number, since 1 + 1 + 83 + 9 + 4 + 2 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 361304064 + 11478122496 = 19008^2 + 107136^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 194088930 + ... + 194088990.

Almost surely, 2^11839426560 is an apocalyptic number.

11839426560 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 11839426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23312994852).

11839426560 is an abundant number, since it is smaller than the sum of its proper divisors (34786563144).

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

11839426560 is an frugal number, since it uses more digits than its factorization.

11839426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11839426560 in words is "eleven billion, eight hundred thirty-nine million, four hundred twenty-six thousand, five hundred sixty".