71141799960 has 768 divisors, whose sum is σ = 301804876800. Its totient is φ = 14589020160.

The previous prime is 71141799943. The next prime is 71141799983. The reversal of 71141799960 is 6999714117.

It is a super-2 number, since 2×71141799960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 71141799897 and 71141799906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75924612 + ... + 75925548.

It is an arithmetic number, because the mean of its divisors is an integer number (392975100).

Almost surely, 2^71141799960 is an apocalyptic number.

71141799960 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 71141799960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150902438400).

71141799960 is an abundant number, since it is smaller than the sum of its proper divisors (230663076840).

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

71141799960 is a wasteful number, since it uses less digits than its factorization.

71141799960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 54.

The spelling of 71141799960 in words is "seventy-one billion, one hundred forty-one million, seven hundred ninety-nine thousand, nine hundred sixty".