25629890400 has 648 divisors, whose sum is σ = 99172480680. Its totient is φ = 6449725440.

The previous prime is 25629890389. The next prime is 25629890401. The reversal of 25629890400 is 409892652.

25629890400 is a `hidden beast` number, since 2 + 562 + 9 + 89 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25629890401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 99727072 + ... + 99727328.

Almost surely, 2^25629890400 is an apocalyptic number.

25629890400 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 25629890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49586240340).

25629890400 is an abundant number, since it is smaller than the sum of its proper divisors (73542590280).

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

25629890400 is an equidigital number, since it uses as much as digits as its factorization.

25629890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 25629890400 in words is "twenty-five billion, six hundred twenty-nine million, eight hundred ninety thousand, four hundred".