71985840789096 has 320 divisors, whose sum is σ = 242010039902400. Its totient is φ = 19749389248512.

The previous prime is 71985840789091. The next prime is 71985840789097. The reversal of 71985840789096 is 69098704858917.

71985840789096 is a `hidden beast` number, since 71 + 9 + 8 + 58 + 407 + 8 + 9 + 0 + 96 = 666.

It is a super-2 number, since 2×71985840789096² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (71985840789091) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10507110 + ... + 15949013.

It is an arithmetic number, because the mean of its divisors is an integer number (756281374695).

Almost surely, 2^{71985840789096} is an apocalyptic number.

71985840789096 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

71985840789096 is an abundant number, since it is smaller than the sum of its proper divisors (170024199113304).

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

71985840789096 is a wasteful number, since it uses less digits than its factorization.

71985840789096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26456190 (or 26456177 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 81.

The spelling of 71985840789096 in words is "seventy-one trillion, nine hundred eighty-five billion, eight hundred forty million, seven hundred eighty-nine thousand, ninety-six".