13877765120 has 88 divisors (see below), whose sum is σ = 33336688704. Its totient is φ = 5543387136.

The previous prime is 13877765101. The next prime is 13877765131. The reversal of 13877765120 is 2156777831.

It is a super-2 number, since 2×13877765120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4949639 + ... + 4952441.

It is an arithmetic number, because the mean of its divisors is an integer number (378826008).

Almost surely, 2^13877765120 is an apocalyptic number.

13877765120 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 13877765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668344352).

13877765120 is an abundant number, since it is smaller than the sum of its proper divisors (19458923584).

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

13877765120 is an equidigital number, since it uses as much as digits as its factorization.

13877765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 47.

The spelling of 13877765120 in words is "thirteen billion, eight hundred seventy-seven million, seven hundred sixty-five thousand, one hundred twenty".