13198049280 has 840 divisors, whose sum is σ = 54151268472. Its totient is φ = 3057647616.

The previous prime is 13198049269. The next prime is 13198049317. The reversal of 13198049280 is 8294089131.

13198049280 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 80 + 492 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 967458816 + 12230590464 = 31104^2 + 110592^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 776355832 + ... + 776355848.

Almost surely, 2^13198049280 is an apocalyptic number.

13198049280 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 13198049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27075634236).

13198049280 is an abundant number, since it is smaller than the sum of its proper divisors (40953219192).

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

13198049280 is an frugal number, since it uses more digits than its factorization.

13198049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13198049280 in words is "thirteen billion, one hundred ninety-eight million, forty-nine thousand, two hundred eighty".