12649815360 has 1120 divisors, whose sum is σ = 57498642432. Its totient is φ = 2567946240.

The previous prime is 12649815317. The next prime is 12649815371. The reversal of 12649815360 is 6351894621.

12649815360 is a `hidden beast` number, since 1 + 2 + 6 + 498 + 153 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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, 73120234 + ... + 73120406.

Almost surely, 2^12649815360 is an apocalyptic number.

12649815360 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 12649815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28749321216).

12649815360 is an abundant number, since it is smaller than the sum of its proper divisors (44848827072).

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

12649815360 is a wasteful number, since it uses less digits than its factorization.

12649815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12649815360 in words is "twelve billion, six hundred forty-nine million, eight hundred fifteen thousand, three hundred sixty".