13458404880 has 320 divisors, whose sum is σ = 48459755520. Its totient is φ = 3429748224.

The previous prime is 13458404879. The next prime is 13458404891. The reversal of 13458404880 is 8840485431.

It is a super-2 number, since 2×13458404880² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4363819 + ... + 4366901.

It is an arithmetic number, because the mean of its divisors is an integer number (151436736).

Almost surely, 2^13458404880 is an apocalyptic number.

13458404880 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 13458404880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24229877760).

13458404880 is an abundant number, since it is smaller than the sum of its proper divisors (35001350640).

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

13458404880 is a wasteful number, since it uses less digits than its factorization.

13458404880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 13458404880 in words is "thirteen billion, four hundred fifty-eight million, four hundred four thousand, eight hundred eighty".