13357468272800 has 72 divisors (see below), whose sum is σ = 32614213986396. Its totient is φ = 5342119792640.

The previous prime is 13357468272791. The next prime is 13357468272871. The reversal of 13357468272800 is 827286475331.

It can be written as a sum of positive squares in 6 ways, for example, as 4330111515664 + 9027356757136 = 2080892^2 + 3004556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3585992 + ... + 6290808.

Almost surely, 2^{13357468272800} is an apocalyptic number.

13357468272800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13357468272800 is an abundant number, since it is smaller than the sum of its proper divisors (19256745713596).

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

13357468272800 is a wasteful number, since it uses less digits than its factorization.

13357468272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711010 (or 2710997 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 56.

The spelling of 13357468272800 in words is "thirteen trillion, three hundred fifty-seven billion, four hundred sixty-eight million, two hundred seventy-two thousand, eight hundred".