25564746240 has 480 divisors, whose sum is σ = 101689473600. Its totient is φ = 5870223360.

The previous prime is 25564746239. The next prime is 25564746281. The reversal of 25564746240 is 4264746552.

25564746240 is a `hidden beast` number, since 2 + 5 + 564 + 7 + 46 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4812706 + ... + 4818014.

It is an arithmetic number, because the mean of its divisors is an integer number (211853070).

Almost surely, 2^25564746240 is an apocalyptic number.

25564746240 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 25564746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50844736800).

25564746240 is an abundant number, since it is smaller than the sum of its proper divisors (76124727360).

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

25564746240 is a wasteful number, since it uses less digits than its factorization.

25564746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 25564746240 in words is "twenty-five billion, five hundred sixty-four million, seven hundred forty-six thousand, two hundred forty".