13706521920 has 1008 divisors, whose sum is σ = 60910012800. Its totient is φ = 2872516608.

The previous prime is 13706521909. The next prime is 13706521957. The reversal of 13706521920 is 2912560731.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 91990006 + ... + 91990154.

It is an arithmetic number, because the mean of its divisors is an integer number (60426600).

Almost surely, 2^13706521920 is an apocalyptic number.

13706521920 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 13706521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30455006400).

13706521920 is an abundant number, since it is smaller than the sum of its proper divisors (47203490880).

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

13706521920 is a wasteful number, since it uses less digits than its factorization.

13706521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 13706521920 in words is "thirteen billion, seven hundred six million, five hundred twenty-one thousand, nine hundred twenty".