11953543680 has 640 divisors, whose sum is σ = 46774506240. Its totient is φ = 2875392000.

The previous prime is 11953543643. The next prime is 11953543687. The reversal of 11953543680 is 8634535911.

11953543680 is a `hidden beast` number, since 1 + 1 + 9 + 535 + 4 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (11953543687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47623555 + ... + 47623805.

It is an arithmetic number, because the mean of its divisors is an integer number (73085166).

Almost surely, 2^11953543680 is an apocalyptic number.

11953543680 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 11953543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23387253120).

11953543680 is an abundant number, since it is smaller than the sum of its proper divisors (34820962560).

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

11953543680 is a wasteful number, since it uses less digits than its factorization.

11953543680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 11953543680 in words is "eleven billion, nine hundred fifty-three million, five hundred forty-three thousand, six hundred eighty".