71781729362560 has 128 divisors (see below), whose sum is σ = 198139774775040. Its totient is φ = 24357158092800.

The previous prime is 71781729362557. The next prime is 71781729362611. The reversal of 71781729362560 is 6526392718717.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 71781729362492 and 71781729362501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82156716 + ... + 83025835.

It is an arithmetic number, because the mean of its divisors is an integer number (1547966990430).

Almost surely, 2^{71781729362560} is an apocalyptic number.

71781729362560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71781729362560 is an abundant number, since it is smaller than the sum of its proper divisors (126358045412480).

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

71781729362560 is a wasteful number, since it uses less digits than its factorization.

71781729362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165182674 (or 165182662 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 64.

The spelling of 71781729362560 in words is "seventy-one trillion, seven hundred eighty-one billion, seven hundred twenty-nine million, three hundred sixty-two thousand, five hundred sixty".