13781906611200 has 1320 divisors, whose sum is σ = 62810435104032. Its totient is φ = 2907791032320.

The previous prime is 13781906611171. The next prime is 13781906611219. The reversal of 13781906611200 is 211660918731.

13781906611200 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 1 + 9 + 0 + 6 + 611 + 20 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 188661082 + ... + 188734118.

Almost surely, 2^{13781906611200} is an apocalyptic number.

13781906611200 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 13781906611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31405217552016).

13781906611200 is an abundant number, since it is smaller than the sum of its proper divisors (49028528492832).

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

13781906611200 is a wasteful number, since it uses less digits than its factorization.

13781906611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73099 (or 73067 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 13781906611200 in words is "thirteen trillion, seven hundred eighty-one billion, nine hundred six million, six hundred eleven thousand, two hundred".