13705945200 has 450 divisors, whose sum is σ = 51045498504. Its totient is φ = 3521871360.

The previous prime is 13705945177. The next prime is 13705945217. The reversal of 13705945200 is 254950731.

13705945200 is a `hidden beast` number, since 13 + 7 + 0 + 594 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 27248149 + ... + 27248651.

Almost surely, 2^13705945200 is an apocalyptic number.

13705945200 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 13705945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25522749252).

13705945200 is an abundant number, since it is smaller than the sum of its proper divisors (37339553304).

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

13705945200 is a wasteful number, since it uses less digits than its factorization.

13705945200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 13705945200 in words is "thirteen billion, seven hundred five million, nine hundred forty-five thousand, two hundred".