13442648510520 has 512 divisors, whose sum is σ = 46527823872000. Its totient is φ = 3448604989440.

The previous prime is 13442648510449. The next prime is 13442648510573. The reversal of 13442648510520 is 2501584624431.

13442648510520 is a `hidden beast` number, since 1 + 3 + 4 + 42 + 6 + 4 + 85 + 1 + 0 + 520 = 666.

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 127 ways as a sum of consecutive naturals, for example, 8333941234 + ... + 8333942846.

It is an arithmetic number, because the mean of its divisors is an integer number (90874656000).

Almost surely, 2^{13442648510520} is an apocalyptic number.

13442648510520 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 13442648510520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23263911936000).

13442648510520 is an abundant number, since it is smaller than the sum of its proper divisors (33085175361480).

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

13442648510520 is a wasteful number, since it uses less digits than its factorization.

13442648510520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 13442648510520 in words is "thirteen trillion, four hundred forty-two billion, six hundred forty-eight million, five hundred ten thousand, five hundred twenty".