13257435643200 has 504 divisors, whose sum is σ = 53865881559360. Its totient is φ = 3029461401600.

The previous prime is 13257435643099. The next prime is 13257435643267. The reversal of 13257435643200 is 234653475231.

It is a happy number.

13257435643200 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 7 + 435 + 6 + 4 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 429291760 + ... + 429322640.

Almost surely, 2^{13257435643200} is an apocalyptic number.

13257435643200 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 13257435643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26932940779680).

13257435643200 is an abundant number, since it is smaller than the sum of its proper divisors (40608445916160).

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

13257435643200 is a wasteful number, since it uses less digits than its factorization.

13257435643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35175 (or 35157 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 13257435643200 in words is "thirteen trillion, two hundred fifty-seven billion, four hundred thirty-five million, six hundred forty-three thousand, two hundred".