13379705035200 has 1260 divisors, whose sum is σ = 56981930287880. Its totient is φ = 2975279247360.

The previous prime is 13379705035129. The next prime is 13379705035219. The reversal of 13379705035200 is 253050797331.

13379705035200 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 9 + 70 + 50 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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 179 ways as a sum of consecutive naturals, for example, 1279247571 + ... + 1279258029.

Almost surely, 2^{13379705035200} is an apocalyptic number.

13379705035200 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 13379705035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28490965143940).

13379705035200 is an abundant number, since it is smaller than the sum of its proper divisors (43602225252680).

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

13379705035200 is a wasteful number, since it uses less digits than its factorization.

13379705035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10552 (or 10513 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The spelling of 13379705035200 in words is "thirteen trillion, three hundred seventy-nine billion, seven hundred five million, thirty-five thousand, two hundred".