13294290354800 has 480 divisors, whose sum is σ = 39687793152000. Its totient is φ = 4167174574080.

The previous prime is 13294290354797. The next prime is 13294290354803. The reversal of 13294290354800 is 845309249231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13294290354797) and next prime (13294290354803).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13294290354803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1990457861 + ... + 1990464539.

It is an arithmetic number, because the mean of its divisors is an integer number (82682902400).

Almost surely, 2^{13294290354800} is an apocalyptic number.

13294290354800 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 13294290354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843896576000).

13294290354800 is an abundant number, since it is smaller than the sum of its proper divisors (26393502797200).

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

13294290354800 is a wasteful number, since it uses less digits than its factorization.

13294290354800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7233 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

The spelling of 13294290354800 in words is "thirteen trillion, two hundred ninety-four billion, two hundred ninety million, three hundred fifty-four thousand, eight hundred".