13760384988852 has 96 divisors (see below), whose sum is σ = 36666888061440. Its totient is φ = 4459462750080.

The previous prime is 13760384988841. The next prime is 13760384988859. The reversal of 13760384988852 is 25888948306731.

13760384988852 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 0 + 3 + 8 + 498 + 88 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13760384988859) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4005202 + ... + 6600182.

It is an arithmetic number, because the mean of its divisors is an integer number (381946750640).

It is a 1-persistent number, because it is pandigital, but 2⋅13760384988852 = 27520769977704 is not.

Almost surely, 2^{13760384988852} is an apocalyptic number.

13760384988852 is a gapful number since it is divisible by the number (12) 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 13760384988852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18333444030720).

13760384988852 is an abundant number, since it is smaller than the sum of its proper divisors (22906503072588).

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

13760384988852 is a wasteful number, since it uses less digits than its factorization.

13760384988852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596358 (or 2596350 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 13760384988852 in words is "thirteen trillion, seven hundred sixty billion, three hundred eighty-four million, nine hundred eighty-eight thousand, eight hundred fifty-two".