5071935456 has 144 divisors (see below), whose sum is σ = 16557899904. Its totient is φ = 1442610432.

The previous prime is 5071935433. The next prime is 5071935493. The reversal of 5071935456 is 6545391705.

5071935456 is a `hidden beast` number, since 5 + 0 + 7 + 193 + 5 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452091 + ... + 463173.

It is an arithmetic number, because the mean of its divisors is an integer number (114985416).

Almost surely, 2^5071935456 is an apocalyptic number.

5071935456 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 5071935456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278949952).

5071935456 is an abundant number, since it is smaller than the sum of its proper divisors (11485964448).

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

5071935456 is a wasteful number, since it uses less digits than its factorization.

5071935456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11333 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 5071935456 is about 71217.5221135922. The cubic root of 5071935456 is about 1718.1374574192.

The spelling of 5071935456 in words is "five billion, seventy-one million, nine hundred thirty-five thousand, four hundred fifty-six".