13502280960 has 288 divisors, whose sum is σ = 54760231680. Its totient is φ = 3086180352.

The previous prime is 13502280943. The next prime is 13502280977. The reversal of 13502280960 is 6908220531.

13502280960 is a `hidden beast` number, since 13 + 502 + 2 + 80 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (13502280943) and next prime (13502280977).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13502280960² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214014 + ... + 269826.

Almost surely, 2^13502280960 is an apocalyptic number.

13502280960 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 13502280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27380115840).

13502280960 is an abundant number, since it is smaller than the sum of its proper divisors (41257950720).

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

13502280960 is an equidigital number, since it uses as much as digits as its factorization.

13502280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55850 (or 55830 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13502280960 in words is "thirteen billion, five hundred two million, two hundred eighty thousand, nine hundred sixty".