71993092684128 has 192 divisors, whose sum is σ = 240422203123200. Its totient is φ = 18699504499200.

The previous prime is 71993092684091. The next prime is 71993092684129. The reversal of 71993092684128 is 82148629039917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71993092684129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99018663 + ... + 99743078.

It is an arithmetic number, because the mean of its divisors is an integer number (1252198974600).

Almost surely, 2^{71993092684128} is an apocalyptic number.

It is an amenable number.

71993092684128 is an abundant number, since it is smaller than the sum of its proper divisors (168429110439072).

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

71993092684128 is a wasteful number, since it uses less digits than its factorization.

71993092684128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198761786 (or 198761764 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 69.

The spelling of 71993092684128 in words is "seventy-one trillion, nine hundred ninety-three billion, ninety-two million, six hundred eighty-four thousand, one hundred twenty-eight".