12576964608000 has 1584 divisors, whose sum is σ = 50709841594776. Its totient is φ = 3095868211200.

The previous prime is 12576964607947. The next prime is 12576964608037. The reversal of 12576964608000 is 80646967521.

12576964608000 is a `hidden beast` number, since 1 + 2 + 576 + 9 + 6 + 4 + 60 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1706597351424 + 10870367256576 = 1306368^2 + 3297024^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 967458815994 + ... + 967458816006.

Almost surely, 2^{12576964608000} is an apocalyptic number.

12576964608000 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 12576964608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25354920797388).

12576964608000 is an abundant number, since it is smaller than the sum of its proper divisors (38132876986776).

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

12576964608000 is an frugal number, since it uses more digits than its factorization.

12576964608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12576964608000 in words is "twelve trillion, five hundred seventy-six billion, nine hundred sixty-four million, six hundred eight thousand".