12573965952 has 192 divisors, whose sum is σ = 38855194560. Its totient is φ = 3888783360.

The previous prime is 12573965923. The next prime is 12573965981. The reversal of 12573965952 is 25956937521.

12573965952 is a `hidden beast` number, since 1 + 2 + 573 + 9 + 65 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12573965923) and next prime (12573965981).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1385943 + ... + 1394985.

It is an arithmetic number, because the mean of its divisors is an integer number (202370805).

Almost surely, 2^12573965952 is an apocalyptic number.

12573965952 is a gapful number since it is divisible by the number (12) 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 12573965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19427597280).

12573965952 is an abundant number, since it is smaller than the sum of its proper divisors (26281228608).

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

12573965952 is a wasteful number, since it uses less digits than its factorization.

12573965952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9151 (or 9136 counting only the distinct ones).

The product of its digits is 5103000, while the sum is 54.

The spelling of 12573965952 in words is "twelve billion, five hundred seventy-three million, nine hundred sixty-five thousand, nine hundred fifty-two".