13827906792 has 256 divisors, whose sum is σ = 46507776000. Its totient is φ = 3718669824.

The previous prime is 13827906749. The next prime is 13827906839. The reversal of 13827906792 is 29760972831.

It is a super-2 number, since 2×13827906792² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4681188 + ... + 4684140.

It is an arithmetic number, because the mean of its divisors is an integer number (181671000).

Almost surely, 2^13827906792 is an apocalyptic number.

13827906792 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 13827906792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23253888000).

13827906792 is an abundant number, since it is smaller than the sum of its proper divisors (32679869208).

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

13827906792 is a wasteful number, since it uses less digits than its factorization.

13827906792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 13827906792 in words is "thirteen billion, eight hundred twenty-seven million, nine hundred six thousand, seven hundred ninety-two".