13170742080 has 448 divisors, whose sum is σ = 45962864640. Its totient is φ = 3184828416.

The previous prime is 13170742043. The next prime is 13170742099. The reversal of 13170742080 is 8024707131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42901287 + ... + 42901593.

It is an arithmetic number, because the mean of its divisors is an integer number (102595680).

Almost surely, 2^13170742080 is an apocalyptic number.

13170742080 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 13170742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22981432320).

13170742080 is an abundant number, since it is smaller than the sum of its proper divisors (32792122560).

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

13170742080 is a wasteful number, since it uses less digits than its factorization.

13170742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 13170742080 in words is "thirteen billion, one hundred seventy million, seven hundred forty-two thousand, eighty".