13406057280 has 672 divisors, whose sum is σ = 59645214720. Its totient is φ = 2784430080.

The previous prime is 13406057261. The next prime is 13406057293. The reversal of 13406057280 is 8275060431.

13406057280 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 6 + 0 + 572 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5986401 + ... + 5988639.

It is an arithmetic number, because the mean of its divisors is an integer number (88757760).

Almost surely, 2^13406057280 is an apocalyptic number.

13406057280 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 13406057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29822607360).

13406057280 is an abundant number, since it is smaller than the sum of its proper divisors (46239157440).

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

13406057280 is a wasteful number, since it uses less digits than its factorization.

13406057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13406057280 in words is "thirteen billion, four hundred six million, fifty-seven thousand, two hundred eighty".