11546115840 has 432 divisors, whose sum is σ = 47355130368. Its totient is φ = 2638614528.

The previous prime is 11546115839. The next prime is 11546115853. The reversal of 11546115840 is 4851164511.

11546115840 is a `hidden beast` number, since 1 + 1 + 5 + 461 + 158 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11546115795 and 11546115804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2174629 + ... + 2179931.

Almost surely, 2^11546115840 is an apocalyptic number.

11546115840 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 11546115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23677565184).

11546115840 is an abundant number, since it is smaller than the sum of its proper divisors (35809014528).

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

11546115840 is an frugal number, since it uses more digits than its factorization.

11546115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 11546115840 in words is "eleven billion, five hundred forty-six million, one hundred fifteen thousand, eight hundred forty".