13526620416 has 81 divisors (see below), whose sum is σ = 39016683979. Its totient is φ = 4507012608.

The previous prime is 13526620369. The next prime is 13526620417. The reversal of 13526620416 is 61402662531.

The square root of 13526620416 is 116304.

It is a perfect power (a square), and thus also a powerful number.

13526620416 is a `hidden beast` number, since 1 + 3 + 5 + 26 + 620 + 4 + 1 + 6 = 666.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13526620417) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5581381 + ... + 5583803.

Almost surely, 2^13526620416 is an apocalyptic number.

13526620416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13526620416 is the 116304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13526620416

13526620416 is an abundant number, since it is smaller than the sum of its proper divisors (25490063563).

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

13526620416 is an frugal number, since it uses more digits than its factorization.

13526620416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 13526620416 by its sum of digits (36), we get a square (486958334976 = 697824²).

13526620416 divided by its sum of digits (36) gives a square (375739456 = 19384²).

The spelling of 13526620416 in words is "thirteen billion, five hundred twenty-six million, six hundred twenty thousand, four hundred sixteen".