25633979280 has 800 divisors, whose sum is σ = 113430240000. Its totient is φ = 5218504704.

The previous prime is 25633979201. The next prime is 25633979303. The reversal of 25633979280 is 8297933652.

It is a happy number.

25633979280 is a `hidden beast` number, since 2 + 563 + 3 + 9 + 79 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17099971 + ... + 17101469.

It is an arithmetic number, because the mean of its divisors is an integer number (141787800).

Almost surely, 2^25633979280 is an apocalyptic number.

25633979280 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 25633979280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56715120000).

25633979280 is an abundant number, since it is smaller than the sum of its proper divisors (87796260720).

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

25633979280 is a wasteful number, since it uses less digits than its factorization.

25633979280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 25633979280 in words is "twenty-five billion, six hundred thirty-three million, nine hundred seventy-nine thousand, two hundred eighty".