5385776256 has 288 divisors, whose sum is σ = 18823471680. Its totient is φ = 1447649280.

The previous prime is 5385776251. The next prime is 5385776303. The reversal of 5385776256 is 6526775835.

5385776256 is a `hidden beast` number, since 5 + 3 + 8 + 5 + 7 + 7 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5385776251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2329341 + ... + 2331651.

Almost surely, 2^5385776256 is an apocalyptic number.

5385776256 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 5385776256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411735840).

5385776256 is an abundant number, since it is smaller than the sum of its proper divisors (13437695424).

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

5385776256 is a wasteful number, since it uses less digits than its factorization.

5385776256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2340 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The square root of 5385776256 is about 73387.8481494041. The cubic root of 5385776256 is about 1752.8689003314.

The spelling of 5385776256 in words is "five billion, three hundred eighty-five million, seven hundred seventy-six thousand, two hundred fifty-six".