13253162457600 has 2880 divisors, whose sum is σ = 55748795182080. Its totient is φ = 3095868211200.

The previous prime is 13253162457593. The next prime is 13253162457637. The reversal of 13253162457600 is 675426135231.

13253162457600 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 3 + 16 + 24 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 121588646346 + ... + 121588646454.

Almost surely, 2^{13253162457600} is an apocalyptic number.

13253162457600 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 13253162457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27874397591040).

13253162457600 is an abundant number, since it is smaller than the sum of its proper divisors (42495632724480).

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

13253162457600 is a wasteful number, since it uses less digits than its factorization.

13253162457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 13253162457600 in words is "thirteen trillion, two hundred fifty-three billion, one hundred sixty-two million, four hundred fifty-seven thousand, six hundred".