13264071874560 has 2304 divisors, whose sum is σ = 53702520842880. Its totient is φ = 3118800568320.

The previous prime is 13264071874453. The next prime is 13264071874567. The reversal of 13264071874560 is 6547817046231.

13264071874560 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 4 + 0 + 7 + 1 + 8 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 13264071874497 and 13264071874506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13264071874567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96818042812 + ... + 96818042948.

Almost surely, 2^{13264071874560} is an apocalyptic number.

13264071874560 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 13264071874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26851260421440).

13264071874560 is an abundant number, since it is smaller than the sum of its proper divisors (40438448968320).

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

13264071874560 is a wasteful number, since it uses less digits than its factorization.

13264071874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 13264071874560 in words is "thirteen trillion, two hundred sixty-four billion, seventy-one million, eight hundred seventy-four thousand, five hundred sixty".