13958561280 has 480 divisors, whose sum is σ = 50048760960. Its totient is φ = 3308912640.

The previous prime is 13958561273. The next prime is 13958561317. The reversal of 13958561280 is 8216585931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 42170715 + ... + 42171045.

It is an arithmetic number, because the mean of its divisors is an integer number (104268252).

Almost surely, 2^13958561280 is an apocalyptic number.

13958561280 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 13958561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25024380480).

13958561280 is an abundant number, since it is smaller than the sum of its proper divisors (36090199680).

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

13958561280 is a wasteful number, since it uses less digits than its factorization.

13958561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 13958561280 in words is "thirteen billion, nine hundred fifty-eight million, five hundred sixty-one thousand, two hundred eighty".