13410677520 has 100 divisors (see below), whose sum is σ = 46577292300. Its totient is φ = 3576178944.

The previous prime is 13410677513. The next prime is 13410677543. The reversal of 13410677520 is 2577601431.

It is a happy number.

13410677520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9468846864 + 3941830656 = 97308^2 + 62784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1028295 + ... + 1041254.

It is an arithmetic number, because the mean of its divisors is an integer number (465772923).

Almost surely, 2^13410677520 is an apocalyptic number.

13410677520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13410677520 is an abundant number, since it is smaller than the sum of its proper divisors (33166614780).

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

13410677520 is a wasteful number, since it uses less digits than its factorization.

13410677520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069574 (or 2069559 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 13410677520 in words is "thirteen billion, four hundred ten million, six hundred seventy-seven thousand, five hundred twenty".