25652665440 has 384 divisors, whose sum is σ = 99205585920. Its totient is φ = 6157983744.

The previous prime is 25652665403. The next prime is 25652665469. The reversal of 25652665440 is 4456625652.

25652665440 is a `hidden beast` number, since 2 + 56 + 52 + 6 + 6 + 544 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1681527 + ... + 1696713.

It is an arithmetic number, because the mean of its divisors is an integer number (258347880).

Almost surely, 2^25652665440 is an apocalyptic number.

25652665440 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 25652665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49602792960).

25652665440 is an abundant number, since it is smaller than the sum of its proper divisors (73552920480).

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

25652665440 is a wasteful number, since it uses less digits than its factorization.

25652665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15251 (or 15237 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 25652665440 in words is "twenty-five billion, six hundred fifty-two million, six hundred sixty-five thousand, four hundred forty".