5461088256 has 384 divisors, whose sum is σ = 17831923200. Its totient is φ = 1641185280.

The previous prime is 5461088239. The next prime is 5461088287. The reversal of 5461088256 is 6528801645.

5461088256 is a `hidden beast` number, since 5 + 4 + 610 + 8 + 8 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5461088256² = 59646969879642243072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51038155 + ... + 51038261.

It is an arithmetic number, because the mean of its divisors is an integer number (46437300).

Almost surely, 2^5461088256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5461088256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915961600).

5461088256 is an abundant number, since it is smaller than the sum of its proper divisors (12370834944).

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

5461088256 is a wasteful number, since it uses less digits than its factorization.

5461088256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5461088256 is about 73899.1762876962. The cubic root of 5461088256 is about 1761.0015236413.

The spelling of 5461088256 in words is "five billion, four hundred sixty-one million, eighty-eight thousand, two hundred fifty-six".