25880342400 has 960 divisors, whose sum is σ = 108123325200. Its totient is φ = 6038323200.

The previous prime is 25880342393. The next prime is 25880342407. The reversal of 25880342400 is 424308852.

25880342400 is a `hidden beast` number, since 2 + 588 + 0 + 34 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25880342393) and next prime (25880342407).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25880342407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 82684644 + ... + 82684956.

Almost surely, 2^25880342400 is an apocalyptic number.

25880342400 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 25880342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54061662600).

25880342400 is an abundant number, since it is smaller than the sum of its proper divisors (82242982800).

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

25880342400 is a wasteful number, since it uses less digits than its factorization.

25880342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 25880342400 in words is "twenty-five billion, eight hundred eighty million, three hundred forty-two thousand, four hundred".