13882501113600 has 1296 divisors, whose sum is σ = 54227937189888. Its totient is φ = 3063690362880.

The previous prime is 13882501113583. The next prime is 13882501113661. The reversal of 13882501113600 is 631110528831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36246739009 + ... + 36246739391.

It is an arithmetic number, because the mean of its divisors is an integer number (41842544128).

Almost surely, 2^{13882501113600} is an apocalyptic number.

13882501113600 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 13882501113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27113968594944).

13882501113600 is an abundant number, since it is smaller than the sum of its proper divisors (40345436076288).

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

13882501113600 is a wasteful number, since it uses less digits than its factorization.

13882501113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 13882501113600 in words is "thirteen trillion, eight hundred eighty-two billion, five hundred one million, one hundred thirteen thousand, six hundred".