25674387600 has 240 divisors, whose sum is σ = 83910522240. Its totient is φ = 6708633600.

The previous prime is 25674387587. The next prime is 25674387601. The reversal of 25674387600 is 678347652.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25674387600.

It is not an unprimeable number, because it can be changed into a prime (25674387601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26278312 + ... + 26279288.

It is an arithmetic number, because the mean of its divisors is an integer number (349627176).

Almost surely, 2^25674387600 is an apocalyptic number.

25674387600 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 25674387600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41955261120).

25674387600 is an abundant number, since it is smaller than the sum of its proper divisors (58236134640).

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

25674387600 is a wasteful number, since it uses less digits than its factorization.

25674387600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 25674387600 in words is "twenty-five billion, six hundred seventy-four million, three hundred eighty-seven thousand, six hundred".