12495591360 has 560 divisors, whose sum is σ = 51677376960. Its totient is φ = 2806824960.

The previous prime is 12495591347. The next prime is 12495591401. The reversal of 12495591360 is 6319559421.

12495591360 is a `hidden beast` number, since 1 + 24 + 9 + 5 + 591 + 36 + 0 = 666.

12495591360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×12495591360² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11067276 + ... + 11068404.

Almost surely, 2^12495591360 is an apocalyptic number.

12495591360 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 12495591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25838688480).

12495591360 is an abundant number, since it is smaller than the sum of its proper divisors (39181785600).

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

12495591360 is a wasteful number, since it uses less digits than its factorization.

12495591360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 12495591360 in words is "twelve billion, four hundred ninety-five million, five hundred ninety-one thousand, three hundred sixty".