13266486374400 has 1560 divisors, whose sum is σ = 57542699469024. Its totient is φ = 2957849395200.

The previous prime is 13266486374381. The next prime is 13266486374413. The reversal of 13266486374400 is 447368466231.

13266486374400 is a `hidden beast` number, since 1 + 3 + 266 + 4 + 8 + 6 + 374 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2380490014 + ... + 2380495586.

Almost surely, 2^{13266486374400} is an apocalyptic number.

13266486374400 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 13266486374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28771349734512).

13266486374400 is an abundant number, since it is smaller than the sum of its proper divisors (44276213094624).

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

13266486374400 is an equidigital number, since it uses as much as digits as its factorization.

13266486374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667 (or 5631 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 13266486374400 in words is "thirteen trillion, two hundred sixty-six billion, four hundred eighty-six million, three hundred seventy-four thousand, four hundred".