13381159680 has 864 divisors, whose sum is σ = 57579185664. Its totient is φ = 2799304704.

The previous prime is 13381159657. The next prime is 13381159699. The reversal of 13381159680 is 8695118331.

It is a happy number.

13381159680 is a `hidden beast` number, since 13 + 38 + 11 + 596 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58947727 + ... + 58947953.

It is an arithmetic number, because the mean of its divisors is an integer number (66642576).

Almost surely, 2^13381159680 is an apocalyptic number.

13381159680 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 13381159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28789592832).

13381159680 is an abundant number, since it is smaller than the sum of its proper divisors (44198025984).

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

13381159680 is a wasteful number, since it uses less digits than its factorization.

13381159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 13381159680 in words is "thirteen billion, three hundred eighty-one million, one hundred fifty-nine thousand, six hundred eighty".