71950286016 has 504 divisors, whose sum is σ = 250430019840. Its totient is φ = 20422015488.

The previous prime is 71950285991. The next prime is 71950286053. The reversal of 71950286016 is 61068205917.

71950286016 is a `hidden beast` number, since 7 + 19 + 5 + 0 + 28 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 200418445 + ... + 200418803.

It is an arithmetic number, because the mean of its divisors is an integer number (496884960).

Almost surely, 2^71950286016 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 71950286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125215009920).

71950286016 is an abundant number, since it is smaller than the sum of its proper divisors (178479733824).

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

71950286016 is a wasteful number, since it uses less digits than its factorization.

71950286016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 71950286016 in words is "seventy-one billion, nine hundred fifty million, two hundred eighty-six thousand, sixteen".