12166252560 has 480 divisors, whose sum is σ = 52590919680. Its totient is φ = 2446156800.

The previous prime is 12166252541. The next prime is 12166252603. The reversal of 12166252560 is 6525266121.

12166252560 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 625 + 25 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1715101 + ... + 1722179.

It is an arithmetic number, because the mean of its divisors is an integer number (109564416).

Almost surely, 2^12166252560 is an apocalyptic number.

12166252560 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 12166252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26295459840).

12166252560 is an abundant number, since it is smaller than the sum of its proper divisors (40424667120).

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

12166252560 is a wasteful number, since it uses less digits than its factorization.

12166252560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12166252560 in words is "twelve billion, one hundred sixty-six million, two hundred fifty-two thousand, five hundred sixty".