6138522915840 has 528 divisors, whose sum is σ = 24873735139968. Its totient is φ = 1370457833472.

The previous prime is 6138522915809. The next prime is 6138522915953. The reversal of 6138522915840 is 485192258316.

6138522915840 is a `hidden beast` number, since 6 + 1 + 3 + 8 + 52 + 2 + 9 + 1 + 584 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13648794 + ... + 14091366.

It is an arithmetic number, because the mean of its divisors is an integer number (47109346856).

Almost surely, 2^{6138522915840} is an apocalyptic number.

6138522915840 is a gapful number since it is divisible by the number (60) 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 6138522915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12436867569984).

6138522915840 is an abundant number, since it is smaller than the sum of its proper divisors (18735212224128).

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

6138522915840 is a wasteful number, since it uses less digits than its factorization.

6138522915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442654 (or 442633 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 6138522915840 in words is "six trillion, one hundred thirty-eight billion, five hundred twenty-two million, nine hundred fifteen thousand, eight hundred forty".