13759297920 has 384 divisors, whose sum is σ = 49401031680. Its totient is φ = 3525120000.

The previous prime is 13759297897. The next prime is 13759297927. The reversal of 13759297920 is 2979295731.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13759297927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44818407 + ... + 44818713.

It is an arithmetic number, because the mean of its divisors is an integer number (128648520).

Almost surely, 2^13759297920 is an apocalyptic number.

13759297920 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 13759297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24700515840).

13759297920 is an abundant number, since it is smaller than the sum of its proper divisors (35641733760).

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

13759297920 is a wasteful number, since it uses less digits than its factorization.

13759297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 13759297920 in words is "thirteen billion, seven hundred fifty-nine million, two hundred ninety-seven thousand, nine hundred twenty".