13576700480 has 504 divisors, whose sum is σ = 41922323064. Its totient is φ = 4159733760.

The previous prime is 13576700461. The next prime is 13576700509. The reversal of 13576700480 is 8400767531.

It can be written as a sum of positive squares in 4 ways, for example, as 4125749824 + 9450950656 = 64232^2 + 97216^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 256164134 + ... + 256164186.

Almost surely, 2^13576700480 is an apocalyptic number.

13576700480 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 13576700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20961161532).

13576700480 is an abundant number, since it is smaller than the sum of its proper divisors (28345622584).

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

13576700480 is a wasteful number, since it uses less digits than its factorization.

13576700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 13576700480 in words is "thirteen billion, five hundred seventy-six million, seven hundred thousand, four hundred eighty".