13502538000 has 800 divisors, whose sum is σ = 57111225600. Its totient is φ = 3086294400.

The previous prime is 13502537999. The next prime is 13502538017. The reversal of 13502538000 is 83520531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1928933997 + ... + 1928934003.

It is an arithmetic number, because the mean of its divisors is an integer number (71389032).

Almost surely, 2^13502538000 is an apocalyptic number.

13502538000 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 13502538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28555612800).

13502538000 is an abundant number, since it is smaller than the sum of its proper divisors (43608687600).

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

13502538000 is an frugal number, since it uses more digits than its factorization.

13502538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13502538000 in words is "thirteen billion, five hundred two million, five hundred thirty-eight thousand".