13261147264800 has 2304 divisors, whose sum is σ = 53465377996800. Its totient is φ = 3160365465600.

The previous prime is 13261147264793. The next prime is 13261147264847. The reversal of 13261147264800 is 846274116231.

13261147264800 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 1 + 147 + 26 + 480 + 0 = 666.

13261147264800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 383 ways as a sum of consecutive naturals, for example, 104418482337 + ... + 104418482463.

It is an arithmetic number, because the mean of its divisors is an integer number (23205459200).

Almost surely, 2^{13261147264800} is an apocalyptic number.

13261147264800 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 13261147264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732688998400).

13261147264800 is an abundant number, since it is smaller than the sum of its proper divisors (40204230732000).

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

13261147264800 is a wasteful number, since it uses less digits than its factorization.

13261147264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13261147264800 in words is "thirteen trillion, two hundred sixty-one billion, one hundred forty-seven million, two hundred sixty-four thousand, eight hundred".