13796245800 has 288 divisors, whose sum is σ = 49965552000. Its totient is φ = 3400012800.

The previous prime is 13796245787. The next prime is 13796245811. The reversal of 13796245800 is 854269731.

13796245800 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 62 + 4 + 580 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1397281 + ... + 1407119.

It is an arithmetic number, because the mean of its divisors is an integer number (173491500).

It is a 1-persistent number, because it is pandigital, but 2⋅13796245800 = 27592491600 is not.

Almost surely, 2^13796245800 is an apocalyptic number.

13796245800 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 13796245800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24982776000).

13796245800 is an abundant number, since it is smaller than the sum of its proper divisors (36169306200).

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

13796245800 is a wasteful number, since it uses less digits than its factorization.

13796245800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9921 (or 9909 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13796245800 in words is "thirteen billion, seven hundred ninety-six million, two hundred forty-five thousand, eight hundred".