25042676400 has 720 divisors, whose sum is σ = 105476899840. Its totient is φ = 5374771200.

The previous prime is 25042676383. The next prime is 25042676429. The reversal of 25042676400 is 467624052.

25042676400 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 2 + 6 + 7 + 640 + 0 = 666.

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92408265 + ... + 92408535.

Almost surely, 2^25042676400 is an apocalyptic number.

25042676400 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 25042676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52738449920).

25042676400 is an abundant number, since it is smaller than the sum of its proper divisors (80434223440).

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

25042676400 is a wasteful number, since it uses less digits than its factorization.

25042676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 25042676400 in words is "twenty-five billion, forty-two million, six hundred seventy-six thousand, four hundred".