13263581520 has 480 divisors, whose sum is σ = 54629003520. Its totient is φ = 2926264320.

The previous prime is 13263581519. The next prime is 13263581531. The reversal of 13263581520 is 2518536231.

13263581520 is a `hidden beast` number, since 1 + 3 + 2 + 635 + 8 + 15 + 2 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3944640 + ... + 3948000.

It is an arithmetic number, because the mean of its divisors is an integer number (113810424).

Almost surely, 2^13263581520 is an apocalyptic number.

13263581520 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 13263581520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27314501760).

13263581520 is an abundant number, since it is smaller than the sum of its proper divisors (41365422000).

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

13263581520 is a wasteful number, since it uses less digits than its factorization.

13263581520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13263581520 in words is "thirteen billion, two hundred sixty-three million, five hundred eighty-one thousand, five hundred twenty".