13337720280 has 256 divisors, whose sum is σ = 45043200000. Its totient is φ = 3510397440.

The previous prime is 13337720273. The next prime is 13337720323. The reversal of 13337720280 is 8202773331.

13337720280 is a `hidden beast` number, since 1 + 3 + 3 + 377 + 2 + 0 + 280 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49216545 + ... + 49216815.

It is an arithmetic number, because the mean of its divisors is an integer number (175950000).

Almost surely, 2^13337720280 is an apocalyptic number.

13337720280 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 13337720280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22521600000).

13337720280 is an abundant number, since it is smaller than the sum of its proper divisors (31705479720).

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

13337720280 is a wasteful number, since it uses less digits than its factorization.

13337720280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 13337720280 in words is "thirteen billion, three hundred thirty-seven million, seven hundred twenty thousand, two hundred eighty".