13307898240000 has 4950 divisors, whose sum is σ = 64569908440224. Its totient is φ = 2717245440000.

The previous prime is 13307898239927. The next prime is 13307898240001. The reversal of 13307898240000 is 4289870331.

13307898240000 is a `hidden beast` number, since 1 + 330 + 78 + 9 + 8 + 240 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13307898240001) by changing a digit.

It is a polite number, since it can be written in 449 ways as a sum of consecutive naturals, for example, 429287039985 + ... + 429287040015.

Almost surely, 2^{13307898240000} is an apocalyptic number.

13307898240000 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 13307898240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32284954220112).

13307898240000 is an abundant number, since it is smaller than the sum of its proper divisors (51262010200224).

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

13307898240000 is an equidigital number, since it uses as much as digits as its factorization.

13307898240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13307898240000 in words is "thirteen trillion, three hundred seven billion, eight hundred ninety-eight million, two hundred forty thousand".