25878163334400 has 1296 divisors, whose sum is σ = 103391677509120. Its totient is φ = 6132149452800.

The previous prime is 25878163334381. The next prime is 25878163334437. The reversal of 25878163334400 is 443336187852.

It is a happy number.

25878163334400 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 8 + 163 + 33 + 440 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4572918771 + ... + 4572924429.

Almost surely, 2^{25878163334400} is an apocalyptic number.

25878163334400 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 25878163334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51695838754560).

25878163334400 is an abundant number, since it is smaller than the sum of its proper divisors (77513514174720).

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

25878163334400 is a wasteful number, since it uses less digits than its factorization.

25878163334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5932 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 25878163334400 in words is "twenty-five trillion, eight hundred seventy-eight billion, one hundred sixty-three million, three hundred thirty-four thousand, four hundred".