13522878720 has 720 divisors, whose sum is σ = 53184552960. Its totient is φ = 3260694528.

The previous prime is 13522878713. The next prime is 13522878767. The reversal of 13522878720 is 2787822531.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106479297 + ... + 106479423.

Almost surely, 2^13522878720 is an apocalyptic number.

13522878720 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 13522878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26592276480).

13522878720 is an abundant number, since it is smaller than the sum of its proper divisors (39661674240).

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

13522878720 is a wasteful number, since it uses less digits than its factorization.

13522878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 13522878720 in words is "thirteen billion, five hundred twenty-two million, eight hundred seventy-eight thousand, seven hundred twenty".