71012098080 has 1152 divisors, whose sum is σ = 323929622016. Its totient is φ = 13713408000.

The previous prime is 71012098067. The next prime is 71012098099. The reversal of 71012098080 is 8089021017.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 190380774 + ... + 190381146.

It is an arithmetic number, because the mean of its divisors is an integer number (281188908).

Almost surely, 2^71012098080 is an apocalyptic number.

71012098080 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 71012098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161964811008).

71012098080 is an abundant number, since it is smaller than the sum of its proper divisors (252917523936).

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

71012098080 is a wasteful number, since it uses less digits than its factorization.

71012098080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 71012098080 in words is "seventy-one billion, twelve million, ninety-eight thousand, eighty".