13279812480 has 384 divisors, whose sum is σ = 52972639200. Its totient is φ = 3029729280.

The previous prime is 13279812467. The next prime is 13279812493. The reversal of 13279812480 is 8421897231.

It is a happy number.

13279812480 is a `hidden beast` number, since 1 + 327 + 9 + 81 + 248 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13279812467) and next prime (13279812493).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1070956 + ... + 1083284.

Almost surely, 2^13279812480 is an apocalyptic number.

13279812480 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 13279812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26486319600).

13279812480 is an abundant number, since it is smaller than the sum of its proper divisors (39692826720).

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

13279812480 is a wasteful number, since it uses less digits than its factorization.

13279812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12382 (or 12367 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13279812480 in words is "thirteen billion, two hundred seventy-nine million, eight hundred twelve thousand, four hundred eighty".