13155367680 has 1152 divisors, whose sum is σ = 59338137600. Its totient is φ = 2686058496.

The previous prime is 13155367663. The next prime is 13155367681. The reversal of 13155367680 is 8676355131.

13155367680 is a `hidden beast` number, since 1 + 31 + 5 + 536 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (13155367681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 147813076 + ... + 147813164.

It is an arithmetic number, because the mean of its divisors is an integer number (51508800).

Almost surely, 2^13155367680 is an apocalyptic number.

13155367680 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 13155367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29669068800).

13155367680 is an abundant number, since it is smaller than the sum of its proper divisors (46182769920).

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

13155367680 is a wasteful number, since it uses less digits than its factorization.

13155367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13155367680 in words is "thirteen billion, one hundred fifty-five million, three hundred sixty-seven thousand, six hundred eighty".