5105048256 has 672 divisors, whose sum is σ = 19475988480. Its totient is φ = 1240012800.

The previous prime is 5105048251. The next prime is 5105048297. The reversal of 5105048256 is 6528405015.

5105048256 is a `hidden beast` number, since 510 + 50 + 48 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5105048256.

It is not an unprimeable number, because it can be changed into a prime (5105048251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64620825 + ... + 64620903.

Almost surely, 2^5105048256 is an apocalyptic number.

5105048256 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 5105048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737994240).

5105048256 is an abundant number, since it is smaller than the sum of its proper divisors (14370940224).

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

5105048256 is a wasteful number, since it uses less digits than its factorization.

5105048256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5105048256 is about 71449.6204048699. The cubic root of 5105048256 is about 1721.8683789373.

The spelling of 5105048256 in words is "five billion, one hundred five million, forty-eight thousand, two hundred fifty-six".