13888896589680 has 320 divisors, whose sum is σ = 52137532984320. Its totient is φ = 2985760899072.

The previous prime is 13888896589643. The next prime is 13888896589681. The reversal of 13888896589680 is 8698569888831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13888896589681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40584726 + ... + 40925514.

It is an arithmetic number, because the mean of its divisors is an integer number (162929790576).

Almost surely, 2^{13888896589680} is an apocalyptic number.

13888896589680 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 13888896589680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26068766492160).

13888896589680 is an abundant number, since it is smaller than the sum of its proper divisors (38248636394640).

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

13888896589680 is a wasteful number, since it uses less digits than its factorization.

13888896589680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342256 (or 342250 counting only the distinct ones).

The product of its (nonzero) digits is 11466178560, while the sum is 87.

The spelling of 13888896589680 in words is "thirteen trillion, eight hundred eighty-eight billion, eight hundred ninety-six million, five hundred eighty-nine thousand, six hundred eighty".