71791251582120 has 256 divisors, whose sum is σ = 256855045386240. Its totient is φ = 15695253792768.

The previous prime is 71791251582119. The next prime is 71791251582121. The reversal of 71791251582120 is 2128515219717.

It is an interprime number because it is at equal distance from previous prime (71791251582119) and next prime (71791251582121).

It is not an unprimeable number, because it can be changed into a prime (71791251582121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 494074999 + ... + 494220281.

It is an arithmetic number, because the mean of its divisors is an integer number (1003340021040).

Almost surely, 2^{71791251582120} is an apocalyptic number.

71791251582120 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 71791251582120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128427522693120).

71791251582120 is an abundant number, since it is smaller than the sum of its proper divisors (185063793804120).

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

71791251582120 is a wasteful number, since it uses less digits than its factorization.

71791251582120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170904 (or 170900 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 51.

The spelling of 71791251582120 in words is "seventy-one trillion, seven hundred ninety-one billion, two hundred fifty-one million, five hundred eighty-two thousand, one hundred twenty".