13521214880 has 96 divisors (see below), whose sum is σ = 32850755280. Its totient is φ = 5255331840.

The previous prime is 13521214879. The next prime is 13521214909. The reversal of 13521214880 is 8841212531.

It can be written as a sum of positive squares in 8 ways, for example, as 6249218704 + 7271996176 = 79052^2 + 85276^2 .

It is a super-2 number, since 2×13521214880² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13521214880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8340470 + ... + 8342090.

Almost surely, 2^13521214880 is an apocalyptic number.

13521214880 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 13521214880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425377640).

13521214880 is an abundant number, since it is smaller than the sum of its proper divisors (19329540400).

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

13521214880 is a wasteful number, since it uses less digits than its factorization.

13521214880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 13521214880 in words is "thirteen billion, five hundred twenty-one million, two hundred fourteen thousand, eight hundred eighty".