11953471680 has 336 divisors, whose sum is σ = 43182869184. Its totient is φ = 3029114880.

The previous prime is 11953471679. The next prime is 11953471709. The reversal of 11953471680 is 8617435911.

11953471680 is a `hidden beast` number, since 11 + 95 + 3 + 471 + 6 + 80 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11988942 + ... + 11989938.

It is an arithmetic number, because the mean of its divisors is an integer number (128520444).

Almost surely, 2^11953471680 is an apocalyptic number.

11953471680 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 11953471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591434592).

11953471680 is an abundant number, since it is smaller than the sum of its proper divisors (31229397504).

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

11953471680 is a wasteful number, since it uses less digits than its factorization.

11953471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11953471680 in words is "eleven billion, nine hundred fifty-three million, four hundred seventy-one thousand, six hundred eighty".