71541875853 has 96 divisors (see below), whose sum is σ = 127049395200. Its totient is φ = 37884672000.

The previous prime is 71541875833. The next prime is 71541875893. The reversal of 71541875853 is 35857814517.

71541875853 is a `hidden beast` number, since 7 + 1 + 54 + 1 + 8 + 7 + 585 + 3 = 666.

It is not a de Polignac number, because 71541875853 - 2⁸ = 71541875597 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 71541875853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71541875833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14899053 + ... + 14903853.

It is an arithmetic number, because the mean of its divisors is an integer number (1323431200).

Almost surely, 2^71541875853 is an apocalyptic number.

It is an amenable number.

71541875853 is a deficient number, since it is larger than the sum of its proper divisors (55507519347).

71541875853 is a wasteful number, since it uses less digits than its factorization.

71541875853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5100 counting only the distinct ones).

The product of its digits is 4704000, while the sum is 54.

The spelling of 71541875853 in words is "seventy-one billion, five hundred forty-one million, eight hundred seventy-five thousand, eight hundred fifty-three".