13876262500 has 72 divisors (see below), whose sum is σ = 30422130984. Its totient is φ = 5537760000.

The previous prime is 13876262483. The next prime is 13876262513. The reversal of 13876262500 is 526267831.

It can be written as a sum of positive squares in 12 ways, for example, as 13779003456 + 97259044 = 117384^2 + 9862^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6961504 + ... + 6963496.

It is an arithmetic number, because the mean of its divisors is an integer number (422529597).

Almost surely, 2^13876262500 is an apocalyptic number.

13876262500 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 13876262500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211065492).

13876262500 is an abundant number, since it is smaller than the sum of its proper divisors (16545868484).

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

13876262500 is an equidigital number, since it uses as much as digits as its factorization.

13876262500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 13876262500 in words is "thirteen billion, eight hundred seventy-six million, two hundred sixty-two thousand, five hundred".