13502407823280 has 800 divisors, whose sum is σ = 49110892826688. Its totient is φ = 3434943283200.

The previous prime is 13502407823263. The next prime is 13502407823371. The reversal of 13502407823280 is 8232870420531.

13502407823280 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 2 + 407 + 8 + 232 + 8 + 0 = 666.

13502407823280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 159 ways as a sum of consecutive naturals, for example, 4660822792 + ... + 4660825688.

Almost surely, 2^{13502407823280} is an apocalyptic number.

13502407823280 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 13502407823280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24555446413344).

13502407823280 is an abundant number, since it is smaller than the sum of its proper divisors (35608485003408).

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

13502407823280 is a wasteful number, since it uses less digits than its factorization.

13502407823280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 13502407823280 in words is "thirteen trillion, five hundred two billion, four hundred seven million, eight hundred twenty-three thousand, two hundred eighty".