13525018416 has 720 divisors, whose sum is σ = 50714087424. Its totient is φ = 3456649728.

The previous prime is 13525018391. The next prime is 13525018421. The reversal of 13525018416 is 61481052531.

13525018416 is a `hidden beast` number, since 13 + 52 + 501 + 84 + 16 = 666.

It is a super-2 number, since 2×13525018416² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106496145 + ... + 106496271.

Almost surely, 2^13525018416 is an apocalyptic number.

13525018416 is a gapful number since it is divisible by the number (16) 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 13525018416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25357043712).

13525018416 is an abundant number, since it is smaller than the sum of its proper divisors (37189069008).

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

13525018416 is a wasteful number, since it uses less digits than its factorization.

13525018416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 13525018416 in words is "thirteen billion, five hundred twenty-five million, eighteen thousand, four hundred sixteen".