13034355715920 has 1280 divisors, whose sum is σ = 52355049062400. Its totient is φ = 2604561039360.

The previous prime is 13034355715837. The next prime is 13034355715937. The reversal of 13034355715920 is 2951755343031.

13034355715920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13034355715920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12918092376 + ... + 12918093384.

It is an arithmetic number, because the mean of its divisors is an integer number (40902382080).

Almost surely, 2^{13034355715920} is an apocalyptic number.

13034355715920 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 13034355715920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26177524531200).

13034355715920 is an abundant number, since it is smaller than the sum of its proper divisors (39320693346480).

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

13034355715920 is a wasteful number, since it uses less digits than its factorization.

13034355715920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 48.

The spelling of 13034355715920 in words is "thirteen trillion, thirty-four billion, three hundred fifty-five million, seven hundred fifteen thousand, nine hundred twenty".