6138106261056 has 448 divisors, whose sum is σ = 23223274782720. Its totient is φ = 1542882816000.

The previous prime is 6138106261051. The next prime is 6138106261057. The reversal of 6138106261056 is 6501626018316.

6138106261056 is a `hidden beast` number, since 6 + 1 + 3 + 8 + 1 + 0 + 626 + 10 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (6138106261051) 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, 3380676 + ... + 4868796.

Almost surely, 2^{6138106261056} is an apocalyptic number.

6138106261056 is a gapful number since it is divisible by the number (66) 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 6138106261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11611637391360).

6138106261056 is an abundant number, since it is smaller than the sum of its proper divisors (17085168521664).

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

6138106261056 is a wasteful number, since it uses less digits than its factorization.

6138106261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488191 (or 1488175 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6138106261056 in words is "six trillion, one hundred thirty-eight billion, one hundred six million, two hundred sixty-one thousand, fifty-six".