13270279680 has 320 divisors, whose sum is σ = 53872980480. Its totient is φ = 3033096192.

The previous prime is 13270279667. The next prime is 13270279681. The reversal of 13270279680 is 8697207231.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×13270279680² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13270279681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470127 + ... + 497553.

It is an arithmetic number, because the mean of its divisors is an integer number (168353064).

Almost surely, 2^13270279680 is an apocalyptic number.

13270279680 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 13270279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26936490240).

13270279680 is an abundant number, since it is smaller than the sum of its proper divisors (40602700800).

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

13270279680 is an equidigital number, since it uses as much as digits as its factorization.

13270279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27466 (or 27444 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 13270279680 in words is "thirteen billion, two hundred seventy million, two hundred seventy-nine thousand, six hundred eighty".