75381006421695 has 192 divisors, whose sum is σ = 141809672632320. Its totient is φ = 33970703450112.

The previous prime is 75381006421681. The next prime is 75381006421697. The reversal of 75381006421695 is 59612460018357.

It is not a de Polignac number, because 75381006421695 - 2⁶ = 75381006421631 is a prime.

It is a super-2 number, since 2×75381006421695² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75381006421697) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 298160659 + ... + 298413371.

It is an arithmetic number, because the mean of its divisors is an integer number (738592044960).

It is a 2-persistent number, because it is pandigital, and so is 2⋅75381006421695 = 150762012843390, but 3⋅75381006421695 = 226143019265085 is not.

Almost surely, 2^{75381006421695} is an apocalyptic number.

75381006421695 is a deficient number, since it is larger than the sum of its proper divisors (66428666210625).

75381006421695 is a wasteful number, since it uses less digits than its factorization.

75381006421695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252914 (or 252897 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 75381006421695 in words is "seventy-five trillion, three hundred eighty-one billion, six million, four hundred twenty-one thousand, six hundred ninety-five".