5071121338464 has 576 divisors, whose sum is σ = 15873943740480. Its totient is φ = 1573500764160.

The previous prime is 5071121338457. The next prime is 5071121338499. The reversal of 5071121338464 is 4648331211705.

5071121338464 is a `hidden beast` number, since 50 + 7 + 1 + 1 + 2 + 133 + 8 + 464 = 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, 2570258182 + ... + 2570260154.

It is an arithmetic number, because the mean of its divisors is an integer number (27558930105).

Almost surely, 2^{5071121338464} is an apocalyptic number.

5071121338464 is a gapful number since it is divisible by the number (54) 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 5071121338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936971870240).

5071121338464 is an abundant number, since it is smaller than the sum of its proper divisors (10802822402016).

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

5071121338464 is a wasteful number, since it uses less digits than its factorization.

5071121338464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 5071121338464 in words is "five trillion, seventy-one billion, one hundred twenty-one million, three hundred thirty-eight thousand, four hundred sixty-four".