11547436680 has 256 divisors, whose sum is σ = 41670720000. Its totient is φ = 2827478016.

The previous prime is 11547436673. The next prime is 11547436699. The reversal of 11547436680 is 8663474511.

11547436680 is a `hidden beast` number, since 1 + 1 + 547 + 43 + 6 + 68 + 0 = 666.

It is a Cunningham number, because it is equal to 107459²-1.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2791894 + ... + 2796026.

It is an arithmetic number, because the mean of its divisors is an integer number (162776250).

Almost surely, 2^11547436680 is an apocalyptic number.

11547436680 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 11547436680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835360000).

11547436680 is an abundant number, since it is smaller than the sum of its proper divisors (30123283320).

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

11547436680 is a wasteful number, since it uses less digits than its factorization.

11547436680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 11547436680 in words is "eleven billion, five hundred forty-seven million, four hundred thirty-six thousand, six hundred eighty".