12195097560 has 640 divisors, whose sum is σ = 46919347200. Its totient is φ = 2821754880.

The previous prime is 12195097553. The next prime is 12195097573. The reversal of 12195097560 is 6579059121.

12195097560 is a `hidden beast` number, since 1 + 2 + 19 + 509 + 75 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45000225 + ... + 45000495.

It is an arithmetic number, because the mean of its divisors is an integer number (73311480).

Almost surely, 2^12195097560 is an apocalyptic number.

12195097560 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 12195097560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23459673600).

12195097560 is an abundant number, since it is smaller than the sum of its proper divisors (34724249640).

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

12195097560 is a wasteful number, since it uses less digits than its factorization.

12195097560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 12195097560 in words is "twelve billion, one hundred ninety-five million, ninety-seven thousand, five hundred sixty".