2013255679104 has 320 divisors, whose sum is σ = 6510217401600. Its totient is φ = 615254538240.

The previous prime is 2013255679081. The next prime is 2013255679147. The reversal of 2013255679104 is 4019765523102.

2013255679104 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 2 + 556 + 7 + 91 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2013255679104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5941914 + ... + 6271590.

It is an arithmetic number, because the mean of its divisors is an integer number (20344429380).

Almost surely, 2^{2013255679104} is an apocalyptic number.

2013255679104 is a gapful number since it is divisible by the number (24) 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 2013255679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255108700800).

2013255679104 is an abundant number, since it is smaller than the sum of its proper divisors (4496961722496).

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

2013255679104 is a wasteful number, since it uses less digits than its factorization.

2013255679104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329753 (or 329732 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 2013255679104 in words is "two trillion, thirteen billion, two hundred fifty-five million, six hundred seventy-nine thousand, one hundred four".