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25528894560 = 25325131797827
BaseRepresentation
bin10111110001101001…
…000000010001100000
32102220011010012202100
4113301221000101200
5404240344111220
615421112450400
71562426011011
oct276151002140
972804105670
1025528894560
11a910439374
124b456a9a00
13253ac97390
141342701008
159e6346d90
hex5f1a40460

25528894560 has 576 divisors, whose sum is σ = 100482887232. Its totient is φ = 5846335488.

The previous prime is 25528894541. The next prime is 25528894571. The reversal of 25528894560 is 6549882552.

25528894560 is a `hidden beast` number, since 2 + 55 + 28 + 8 + 9 + 4 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25528894497 and 25528894506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30868867 + ... + 30869693.

It is an arithmetic number, because the mean of its divisors is an integer number (174449457).

Almost surely, 225528894560 is an apocalyptic number.

25528894560 is a gapful number since it is divisible by the number (20) 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 25528894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50241443616).

25528894560 is an abundant number, since it is smaller than the sum of its proper divisors (74953992672).

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

25528894560 is a wasteful number, since it uses less digits than its factorization.

25528894560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 25528894560 in words is "twenty-five billion, five hundred twenty-eight million, eight hundred ninety-four thousand, five hundred sixty".