11845639260 has 540 divisors, whose sum is σ = 46861142328. Its totient is φ = 2496469248.

The previous prime is 11845639163. The next prime is 11845639261. The reversal of 11845639260 is 6293654811.

11845639260 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 5 + 639 + 2 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 (11845639261) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 13414779 + ... + 13415661.

Almost surely, 2^11845639260 is an apocalyptic number.

11845639260 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 11845639260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23430571164).

11845639260 is an abundant number, since it is smaller than the sum of its proper divisors (35015503068).

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

11845639260 is a wasteful number, since it uses less digits than its factorization.

11845639260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 913 counting only the distinct ones).

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

The spelling of 11845639260 in words is "eleven billion, eight hundred forty-five million, six hundred thirty-nine thousand, two hundred sixty".