71219077560960 has 512 divisors, whose sum is σ = 270429876910080. Its totient is φ = 15602277335040.

The previous prime is 71219077560947. The next prime is 71219077560977. The reversal of 71219077560960 is 6906577091217.

It is a super-2 number, since 2×71219077560960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 71219077560894 and 71219077560903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32248975 + ... + 34386545.

It is an arithmetic number, because the mean of its divisors is an integer number (528183353340).

Almost surely, 2^{71219077560960} is an apocalyptic number.

71219077560960 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 71219077560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135214938455040).

71219077560960 is an abundant number, since it is smaller than the sum of its proper divisors (199210799349120).

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

71219077560960 is a wasteful number, since it uses less digits than its factorization.

71219077560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137704 (or 2137692 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 60.

The spelling of 71219077560960 in words is "seventy-one trillion, two hundred nineteen billion, seventy-seven million, five hundred sixty thousand, nine hundred sixty".