13082050800 has 1680 divisors, whose sum is σ = 63526559040. Its totient is φ = 2508226560.

The previous prime is 13082050759. The next prime is 13082050811. The reversal of 13082050800 is 805028031.

It is a happy number.

13082050800 is a `hidden beast` number, since 130 + 8 + 20 + 508 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×13082050800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 451105186 + ... + 451105214.

It is an arithmetic number, because the mean of its divisors is an integer number (37813428).

Almost surely, 2^13082050800 is an apocalyptic number.

13082050800 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 13082050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31763279520).

13082050800 is an abundant number, since it is smaller than the sum of its proper divisors (50444508240).

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

13082050800 is a wasteful number, since it uses less digits than its factorization.

13082050800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 13082050800 its reverse (805028031), we get a palindrome (13887078831).

The spelling of 13082050800 in words is "thirteen billion, eighty-two million, fifty thousand, eight hundred".