5071267656 has 512 divisors, whose sum is σ = 18794496000. Its totient is φ = 1229478912.

The previous prime is 5071267633. The next prime is 5071267673. The reversal of 5071267656 is 6567621705.

5071267656 is a `hidden beast` number, since 507 + 1 + 26 + 76 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13817985 + ... + 13818351.

It is an arithmetic number, because the mean of its divisors is an integer number (36708000).

Almost surely, 2^5071267656 is an apocalyptic number.

5071267656 is a gapful number since it is divisible by the number (56) 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 5071267656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9397248000).

5071267656 is an abundant number, since it is smaller than the sum of its proper divisors (13723228344).

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

5071267656 is a wasteful number, since it uses less digits than its factorization.

5071267656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5071267656 is about 71212.8335063281. The cubic root of 5071267656 is about 1718.0620475114.

The spelling of 5071267656 in words is "five billion, seventy-one million, two hundred sixty-seven thousand, six hundred fifty-six".