71435584920 has 384 divisors, whose sum is σ = 254681107200. Its totient is φ = 15978783744.

The previous prime is 71435584849. The next prime is 71435584921. The reversal of 71435584920 is 2948553417.

It is a self number, because there is not a number n which added to its sum of digits gives 71435584920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71435584921) 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, 70518334 + ... + 70519346.

It is an arithmetic number, because the mean of its divisors is an integer number (663232050).

Almost surely, 2^71435584920 is an apocalyptic number.

71435584920 is a gapful number since it is divisible by the number (70) 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 71435584920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127340553600).

71435584920 is an abundant number, since it is smaller than the sum of its proper divisors (183245522280).

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

71435584920 is a wasteful number, since it uses less digits than its factorization.

71435584920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 71435584920 in words is "seventy-one billion, four hundred thirty-five million, five hundred eighty-four thousand, nine hundred twenty".