13465071055020 has 192 divisors, whose sum is σ = 40753601965440. Its totient is φ = 3302148390912.

The previous prime is 13465071055003. The next prime is 13465071055081. The reversal of 13465071055020 is 2055017056431.

13465071055020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13465071055020³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 13465071055020.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360888126 + ... + 360925434.

It is an arithmetic number, because the mean of its divisors is an integer number (212258343570).

Almost surely, 2^{13465071055020} is an apocalyptic number.

13465071055020 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 13465071055020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376800982720).

13465071055020 is an abundant number, since it is smaller than the sum of its proper divisors (27288530910420).

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

13465071055020 is a wasteful number, since it uses less digits than its factorization.

13465071055020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39044 (or 39042 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 13465071055020 in words is "thirteen trillion, four hundred sixty-five billion, seventy-one million, fifty-five thousand, twenty".