11970504000 has 1680 divisors, whose sum is σ = 57390212880. Its totient is φ = 2438553600.

The previous prime is 11970503977. The next prime is 11970504023. The reversal of 11970504000 is 40507911.

11970504000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11970503977) and next prime (11970504023).

It can be written as a sum of positive squares in 8 ways, for example, as 6024243456 + 5946260544 = 77616^2 + 77112^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 412775986 + ... + 412776014.

It is an arithmetic number, because the mean of its divisors is an integer number (34160841).

Almost surely, 2^11970504000 is an apocalyptic number.

11970504000 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 11970504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28695106440).

11970504000 is an abundant number, since it is smaller than the sum of its proper divisors (45419708880).

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

11970504000 is a wasteful number, since it uses less digits than its factorization.

11970504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 11970504000 in words is "eleven billion, nine hundred seventy million, five hundred four thousand".