13535025322400 has 72 divisors (see below), whose sum is σ = 33935417955180. Its totient is φ = 5267685519360.

The previous prime is 13535025322367. The next prime is 13535025322421. The reversal of 13535025322400 is 422352053531.

It can be written as a sum of positive squares in 6 ways, for example, as 7235949360784 + 6299075961616 = 2689972^2 + 2509796^2 .

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, 228602585 + ... + 228661784.

Almost surely, 2^{13535025322400} is an apocalyptic number.

13535025322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13535025322400 is an abundant number, since it is smaller than the sum of its proper divisors (20400392632780).

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

13535025322400 is a wasteful number, since it uses less digits than its factorization.

13535025322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457264426 (or 457264413 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 13535025322400 its reverse (422352053531), we get a palindrome (13957377375931).

The spelling of 13535025322400 in words is "thirteen trillion, five hundred thirty-five billion, twenty-five million, three hundred twenty-two thousand, four hundred".