13876153358340 has 384 divisors, whose sum is σ = 50582035832832. Its totient is φ = 2762060083200.

The previous prime is 13876153358323. The next prime is 13876153358357. The reversal of 13876153358340 is 4385335167831.

It is an interprime number because it is at equal distance from previous prime (13876153358323) and next prime (13876153358357).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8410515 + ... + 9924165.

It is an arithmetic number, because the mean of its divisors is an integer number (131724051648).

Almost surely, 2^{13876153358340} is an apocalyptic number.

13876153358340 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 13876153358340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25291017916416).

13876153358340 is an abundant number, since it is smaller than the sum of its proper divisors (36705882474492).

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

13876153358340 is a wasteful number, since it uses less digits than its factorization.

13876153358340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513779 (or 1513777 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 13876153358340 in words is "thirteen trillion, eight hundred seventy-six billion, one hundred fifty-three million, three hundred fifty-eight thousand, three hundred forty".