25675378396800 has 768 divisors, whose sum is σ = 95330384179200. Its totient is φ = 6017347584000.

The previous prime is 25675378396781. The next prime is 25675378396817. The reversal of 25675378396800 is 869387357652.

It is a super-3 number, since 3×25675378396800³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3695890927 + ... + 3695897873.

It is an arithmetic number, because the mean of its divisors is an integer number (124128104400).

Almost surely, 2^{25675378396800} is an apocalyptic number.

25675378396800 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 25675378396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47665192089600).

25675378396800 is an abundant number, since it is smaller than the sum of its proper divisors (69655005782400).

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

25675378396800 is a wasteful number, since it uses less digits than its factorization.

25675378396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8145 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 69.

The spelling of 25675378396800 in words is "twenty-five trillion, six hundred seventy-five billion, three hundred seventy-eight million, three hundred ninety-six thousand, eight hundred".