13053444696000 has 672 divisors, whose sum is σ = 49819098288960. Its totient is φ = 3251109888000.

The previous prime is 13053444695957. The next prime is 13053444696079. The reversal of 13053444696000 is 69644435031.

13053444696000 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 34 + 4 + 4 + 6 + 9 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 160303296 + ... + 160384704.

It is an arithmetic number, because the mean of its divisors is an integer number (74135562930).

Almost surely, 2^{13053444696000} is an apocalyptic number.

13053444696000 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 13053444696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909549144480).

13053444696000 is an abundant number, since it is smaller than the sum of its proper divisors (36765653592960).

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

13053444696000 is a wasteful number, since it uses less digits than its factorization.

13053444696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81590 (or 81567 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 13053444696000 in words is "thirteen trillion, fifty-three billion, four hundred forty-four million, six hundred ninety-six thousand".