7138580005128 has 576 divisors, whose sum is σ = 22718643635520. Its totient is φ = 1855830113280.

The previous prime is 7138580005111. The next prime is 7138580005153. The reversal of 7138580005128 is 8215000858317.

It is a super-2 number, since 2×7138580005128² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 722304075 + ... + 722313957.

It is an arithmetic number, because the mean of its divisors is an integer number (39442089645).

Almost surely, 2^{7138580005128} is an apocalyptic number.

7138580005128 is a gapful number since it is divisible by the number (78) 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 7138580005128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11359321817760).

7138580005128 is an abundant number, since it is smaller than the sum of its proper divisors (15580063630392).

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

7138580005128 is a wasteful number, since it uses less digits than its factorization.

7138580005128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10018 (or 9984 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 7138580005128 in words is "seven trillion, one hundred thirty-eight billion, five hundred eighty million, five thousand, one hundred twenty-eight".