13062227870640 has 320 divisors, whose sum is σ = 43839069120000. Its totient is φ = 3198304714752.

The previous prime is 13062227870639. The next prime is 13062227870647. The reversal of 13062227870640 is 4607872226031.

13062227870640 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 13062227870640.

It is not an unprimeable number, because it can be changed into a prime (13062227870647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 477948496 + ... + 477975824.

It is an arithmetic number, because the mean of its divisors is an integer number (136997091000).

Almost surely, 2^{13062227870640} is an apocalyptic number.

13062227870640 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 13062227870640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21919534560000).

13062227870640 is an abundant number, since it is smaller than the sum of its proper divisors (30776841249360).

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

13062227870640 is a wasteful number, since it uses less digits than its factorization.

13062227870640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28164 (or 28158 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 13062227870640 in words is "thirteen trillion, sixty-two billion, two hundred twenty-seven million, eight hundred seventy thousand, six hundred forty".