13420680000 has 560 divisors, whose sum is σ = 54656004480. Its totient is φ = 2829312000.

The previous prime is 13420679999. The next prime is 13420680043. The reversal of 13420680000 is 8602431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×13420680000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10919386 + ... + 10920614.

It is an arithmetic number, because the mean of its divisors is an integer number (97600008).

Almost surely, 2^13420680000 is an apocalyptic number.

13420680000 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 13420680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27328002240).

13420680000 is an abundant number, since it is smaller than the sum of its proper divisors (41235324480).

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

13420680000 is a wasteful number, since it uses less digits than its factorization.

13420680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 13420680000 in words is "thirteen billion, four hundred twenty million, six hundred eighty thousand".