13625209000800 has 1440 divisors, whose sum is σ = 56672016508800. Its totient is φ = 3164127805440.

The previous prime is 13625209000763. The next prime is 13625209000801. The reversal of 13625209000800 is 800090252631.

13625209000800 is a `hidden beast` number, since 1 + 3 + 625 + 20 + 9 + 0 + 0 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13625209000801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 899999631 + ... + 900014769.

It is an arithmetic number, because the mean of its divisors is an integer number (39355567020).

Almost surely, 2^{13625209000800} is an apocalyptic number.

13625209000800 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 13625209000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28336008254400).

13625209000800 is an abundant number, since it is smaller than the sum of its proper divisors (43046807508000).

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

13625209000800 is a wasteful number, since it uses less digits than its factorization.

13625209000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15250 (or 15228 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13625209000800 in words is "thirteen trillion, six hundred twenty-five billion, two hundred nine million, eight hundred", and thus it is an aban number.