25753820400 has 1680 divisors, whose sum is σ = 122616342528. Its totient is φ = 5038848000.

The previous prime is 25753820399. The next prime is 25753820413. The reversal of 25753820400 is 402835752.

25753820400 is a `hidden beast` number, since 2 + 575 + 3 + 82 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 696049182 + ... + 696049218.

Almost surely, 2^25753820400 is an apocalyptic number.

25753820400 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 25753820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61308171264).

25753820400 is an abundant number, since it is smaller than the sum of its proper divisors (96862522128).

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

25753820400 is a wasteful number, since it uses less digits than its factorization.

25753820400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 25753820400 in words is "twenty-five billion, seven hundred fifty-three million, eight hundred twenty thousand, four hundred".