13264253049600 has 1296 divisors, whose sum is σ = 55032348745920. Its totient is φ = 2985453158400.

The previous prime is 13264253049589. The next prime is 13264253049611. The reversal of 13264253049600 is 694035246231.

13264253049600 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 4 + 2 + 5 + 30 + 4 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (13264253049589) and next prime (13264253049611).

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 143 ways as a sum of consecutive naturals, for example, 8956280860 + ... + 8956282340.

Almost surely, 2^{13264253049600} is an apocalyptic number.

13264253049600 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 13264253049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27516174372960).

13264253049600 is an abundant number, since it is smaller than the sum of its proper divisors (41768095696320).

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

13264253049600 is a wasteful number, since it uses less digits than its factorization.

13264253049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 13264253049600 in words is "thirteen trillion, two hundred sixty-four billion, two hundred fifty-three million, forty-nine thousand, six hundred".