12952258560 has 384 divisors, whose sum is σ = 46702656000. Its totient is φ = 3404464128.

The previous prime is 12952258547. The next prime is 12952258577. The reversal of 12952258560 is 6585225921.

12952258560 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 2 + 2 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12952258560² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21841624 + ... + 21842216.

It is an arithmetic number, because the mean of its divisors is an integer number (121621500).

Almost surely, 2^12952258560 is an apocalyptic number.

12952258560 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 12952258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351328000).

12952258560 is an abundant number, since it is smaller than the sum of its proper divisors (33750397440).

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

12952258560 is an equidigital number, since it uses as much as digits as its factorization.

12952258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 12952258560 in words is "twelve billion, nine hundred fifty-two million, two hundred fifty-eight thousand, five hundred sixty".