25699604400 has 240 divisors, whose sum is σ = 92502784800. Its totient is φ = 6775971840.

The previous prime is 25699604377. The next prime is 25699604431. The reversal of 25699604400 is 440699652.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947832 + ... + 974568.

It is an arithmetic number, because the mean of its divisors is an integer number (385428270).

Almost surely, 2^25699604400 is an apocalyptic number.

25699604400 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 25699604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46251392400).

25699604400 is an abundant number, since it is smaller than the sum of its proper divisors (66803180400).

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

25699604400 is a wasteful number, since it uses less digits than its factorization.

25699604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26853 (or 26836 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 25699604400 in words is "twenty-five billion, six hundred ninety-nine million, six hundred four thousand, four hundred".