25559078400 has 720 divisors, whose sum is σ = 100211050368. Its totient is φ = 6193152000.

The previous prime is 25559078299. The next prime is 25559078423. The reversal of 25559078400 is 487095552.

25559078400 is a `hidden beast` number, since 2 + 55 + 590 + 7 + 8 + 4 + 0 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60710190 + ... + 60710610.

Almost surely, 2^25559078400 is an apocalyptic number.

25559078400 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 25559078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50105525184).

25559078400 is an abundant number, since it is smaller than the sum of its proper divisors (74651971968).

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

25559078400 is a wasteful number, since it uses less digits than its factorization.

25559078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 25559078400 in words is "twenty-five billion, five hundred fifty-nine million, seventy-eight thousand, four hundred".