71301016800 has 576 divisors, whose sum is σ = 286701649920. Its totient is φ = 16982784000.

The previous prime is 71301016789. The next prime is 71301016811. The reversal of 71301016800 is 861010317.

It is an interprime number because it is at equal distance from previous prime (71301016789) and next prime (71301016811).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8700705 + ... + 8708895.

It is an arithmetic number, because the mean of its divisors is an integer number (497745920).

Almost surely, 2^71301016800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71301016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143350824960).

71301016800 is an abundant number, since it is smaller than the sum of its proper divisors (215400633120).

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

71301016800 is a wasteful number, since it uses less digits than its factorization.

71301016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8264 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 71301016800 in words is "seventy-one billion, three hundred one million, sixteen thousand, eight hundred".