13820588712 has 320 divisors, whose sum is σ = 45284279040. Its totient is φ = 3856896000.

The previous prime is 13820588699. The next prime is 13820588731. The reversal of 13820588712 is 21788502831.

13820588712 is a `hidden beast` number, since 1 + 38 + 20 + 588 + 7 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44439037 + ... + 44439347.

It is an arithmetic number, because the mean of its divisors is an integer number (141513372).

Almost surely, 2^13820588712 is an apocalyptic number.

13820588712 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 13820588712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22642139520).

13820588712 is an abundant number, since it is smaller than the sum of its proper divisors (31463690328).

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

13820588712 is a wasteful number, since it uses less digits than its factorization.

13820588712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 13820588712 in words is "thirteen billion, eight hundred twenty million, five hundred eighty-eight thousand, seven hundred twelve".