13579406880 has 576 divisors, whose sum is σ = 50402943360. Its totient is φ = 3059417088.

The previous prime is 13579406879. The next prime is 13579406881. The reversal of 13579406880 is 8860497531.

It is an interprime number because it is at equal distance from previous prime (13579406879) and next prime (13579406881).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (13579406881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59298606 + ... + 59298834.

It is an arithmetic number, because the mean of its divisors is an integer number (87505110).

Almost surely, 2^13579406880 is an apocalyptic number.

13579406880 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 13579406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25201471680).

13579406880 is an abundant number, since it is smaller than the sum of its proper divisors (36823536480).

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

13579406880 is a wasteful number, since it uses less digits than its factorization.

13579406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 13579406880 in words is "thirteen billion, five hundred seventy-nine million, four hundred six thousand, eight hundred eighty".