13926021120 has 768 divisors, whose sum is σ = 57081024000. Its totient is φ = 3185049600.

The previous prime is 13926021079. The next prime is 13926021143. The reversal of 13926021120 is 2112062931.

13926021120 is a `hidden beast` number, since 1 + 39 + 2 + 602 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57784200 + ... + 57784440.

It is an arithmetic number, because the mean of its divisors is an integer number (74324250).

Almost surely, 2^13926021120 is an apocalyptic number.

13926021120 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 13926021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28540512000).

13926021120 is an abundant number, since it is smaller than the sum of its proper divisors (43155002880).

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

13926021120 is a wasteful number, since it uses less digits than its factorization.

13926021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13926021120 in words is "thirteen billion, nine hundred twenty-six million, twenty-one thousand, one hundred twenty".