11955976704 has 160 divisors (see below), whose sum is σ = 40446637440. Its totient is φ = 3415965696.

The previous prime is 11955976691. The next prime is 11955976709. The reversal of 11955976704 is 40767955911.

11955976704 is a `hidden beast` number, since 1 + 19 + 559 + 7 + 6 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11955976709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34992 + ... + 158544.

It is an arithmetic number, because the mean of its divisors is an integer number (252791484).

Almost surely, 2^11955976704 is an apocalyptic number.

11955976704 is a gapful number since it is divisible by the number (14) 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 11955976704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20223318720).

11955976704 is an abundant number, since it is smaller than the sum of its proper divisors (28490660736).

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

11955976704 is an equidigital number, since it uses as much as digits as its factorization.

11955976704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123587 (or 123565 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 11955976704 in words is "eleven billion, nine hundred fifty-five million, nine hundred seventy-six thousand, seven hundred four".