13755670197120 has 512 divisors, whose sum is σ = 49271699433600. Its totient is φ = 3626568253440.

The previous prime is 13755670197097. The next prime is 13755670197131. The reversal of 13755670197120 is 2179107655731.

13755670197120 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 567 + 0 + 1 + 9 + 71 + 2 + 0 = 666.

13755670197120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1838743780 + ... + 1838751260.

Almost surely, 2^{13755670197120} is an apocalyptic number.

13755670197120 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 13755670197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24635849716800).

13755670197120 is an abundant number, since it is smaller than the sum of its proper divisors (35516029236480).

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

13755670197120 is a wasteful number, since it uses less digits than its factorization.

13755670197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8703 (or 8685 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 13755670197120 in words is "thirteen trillion, seven hundred fifty-five billion, six hundred seventy million, one hundred ninety-seven thousand, one hundred twenty".