25330676400 has 300 divisors, whose sum is σ = 94048072800. Its totient is φ = 6521679360.

The previous prime is 25330676387. The next prime is 25330676467. The reversal of 25330676400 is 467603352.

25330676400 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 0 + 6 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 926121 + ... + 953079.

It is an arithmetic number, because the mean of its divisors is an integer number (313493576).

Almost surely, 2^25330676400 is an apocalyptic number.

25330676400 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 25330676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47024036400).

25330676400 is an abundant number, since it is smaller than the sum of its proper divisors (68717396400).

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

25330676400 is a wasteful number, since it uses less digits than its factorization.

25330676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27018 (or 26998 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 25330676400 in words is "twenty-five billion, three hundred thirty million, six hundred seventy-six thousand, four hundred".