25766657280 has 720 divisors, whose sum is σ = 113515780224. Its totient is φ = 5434490880.

The previous prime is 25766657261. The next prime is 25766657299. The reversal of 25766657280 is 8275666752.

It is an interprime number because it is at equal distance from previous prime (25766657261) and next prime (25766657299).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9433515 + ... + 9436245.

Almost surely, 2^25766657280 is an apocalyptic number.

25766657280 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 25766657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56757890112).

25766657280 is an abundant number, since it is smaller than the sum of its proper divisors (87749122944).

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

25766657280 is a wasteful number, since it uses less digits than its factorization.

25766657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 25766657280 in words is "twenty-five billion, seven hundred sixty-six million, six hundred fifty-seven thousand, two hundred eighty".