13539520800 has 864 divisors, whose sum is σ = 55688435712. Its totient is φ = 3065610240.

The previous prime is 13539520793. The next prime is 13539520829. The reversal of 13539520800 is 802593531.

13539520800 is a `hidden beast` number, since 1 + 3 + 53 + 9 + 520 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106610337 + ... + 106610463.

It is an arithmetic number, because the mean of its divisors is an integer number (64454208).

Almost surely, 2^13539520800 is an apocalyptic number.

13539520800 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 13539520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27844217856).

13539520800 is an abundant number, since it is smaller than the sum of its proper divisors (42148914912).

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

13539520800 is a wasteful number, since it uses less digits than its factorization.

13539520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13539520800 in words is "thirteen billion, five hundred thirty-nine million, five hundred twenty thousand, eight hundred".