13502068800 has 672 divisors, whose sum is σ = 52217848320. Its totient is φ = 3019161600.

The previous prime is 13502068799. The next prime is 13502068807. The reversal of 13502068800 is 886020531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13502068807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43137444 + ... + 43137756.

Almost surely, 2^13502068800 is an apocalyptic number.

13502068800 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 13502068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26108924160).

13502068800 is an abundant number, since it is smaller than the sum of its proper divisors (38715779520).

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

13502068800 is a wasteful number, since it uses less digits than its factorization.

13502068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 13502068800 in words is "thirteen billion, five hundred two million, sixty-eight thousand, eight hundred".