71006485220736 has 512 divisors, whose sum is σ = 220879982937600. Its totient is φ = 20014153728000.

The previous prime is 71006485220687. The next prime is 71006485220761. The reversal of 71006485220736 is 63702258460017.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 505634371 + ... + 505774781.

It is an arithmetic number, because the mean of its divisors is an integer number (431406216675).

Almost surely, 2^{71006485220736} 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 71006485220736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110439991468800).

71006485220736 is an abundant number, since it is smaller than the sum of its proper divisors (149873497716864).

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

71006485220736 is a wasteful number, since it uses less digits than its factorization.

71006485220736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140618 (or 140606 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 71006485220736 in words is "seventy-one trillion, six billion, four hundred eighty-five million, two hundred twenty thousand, seven hundred thirty-six".