71354870496 has 576 divisors, whose sum is σ = 261640544256. Its totient is φ = 17940787200.

The previous prime is 71354870453. The next prime is 71354870507. The reversal of 71354870496 is 69407845317.

71354870496 is a `hidden beast` number, since 7 + 1 + 3 + 548 + 7 + 0 + 4 + 96 = 666.

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, 57683190 + ... + 57684426.

It is an arithmetic number, because the mean of its divisors is an integer number (454237056).

Almost surely, 2^71354870496 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 71354870496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130820272128).

71354870496 is an abundant number, since it is smaller than the sum of its proper divisors (190285673760).

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

71354870496 is a wasteful number, since it uses less digits than its factorization.

71354870496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 71354870496 in words is "seventy-one billion, three hundred fifty-four million, eight hundred seventy thousand, four hundred ninety-six".