11856548340 has 1152 divisors, whose sum is σ = 51778621440. Its totient is φ = 2203656192.

The previous prime is 11856548339. The next prime is 11856548399. The reversal of 11856548340 is 4384565811.

11856548340 is a `hidden beast` number, since 1 + 1 + 8 + 565 + 4 + 83 + 4 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 142849939 + ... + 142850021.

It is an arithmetic number, because the mean of its divisors is an integer number (44946720).

Almost surely, 2^11856548340 is an apocalyptic number.

11856548340 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 11856548340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25889310720).

11856548340 is an abundant number, since it is smaller than the sum of its proper divisors (39922073100).

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

11856548340 is a wasteful number, since it uses less digits than its factorization.

11856548340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 11856548340 in words is "eleven billion, eight hundred fifty-six million, five hundred forty-eight thousand, three hundred forty".