13250901600000 has 1296 divisors, whose sum is σ = 51290226527904. Its totient is φ = 3277946880000.

The previous prime is 13250901599989. The next prime is 13250901600007. The reversal of 13250901600000 is 610905231.

13250901600000 is a `hidden beast` number, since 1 + 3 + 2 + 50 + 9 + 0 + 1 + 600 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13250901600007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8935199259 + ... + 8935200741.

It is an arithmetic number, because the mean of its divisors is an integer number (39575792074).

Almost surely, 2^{13250901600000} is an apocalyptic number.

13250901600000 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 13250901600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25645113263952).

13250901600000 is an abundant number, since it is smaller than the sum of its proper divisors (38039324927904).

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

13250901600000 is an equidigital number, since it uses as much as digits as its factorization.

13250901600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 13250901600000 in words is "thirteen trillion, two hundred fifty billion, nine hundred one million, six hundred thousand".