25068929414400 has 1728 divisors, whose sum is σ = 104237328384000. Its totient is φ = 5861884723200.

The previous prime is 25068929414341. The next prime is 25068929414411. The reversal of 25068929414400 is 441492986052.

25068929414400 is a `hidden beast` number, since 2 + 5 + 0 + 68 + 92 + 94 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2340916246 + ... + 2340926954.

It is an arithmetic number, because the mean of its divisors is an integer number (60322528000).

Almost surely, 2^{25068929414400} is an apocalyptic number.

25068929414400 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 25068929414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52118664192000).

25068929414400 is an abundant number, since it is smaller than the sum of its proper divisors (79168398969600).

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

25068929414400 is a wasteful number, since it uses less digits than its factorization.

25068929414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10817 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 25068929414400 in words is "twenty-five trillion, sixty-eight billion, nine hundred twenty-nine million, four hundred fourteen thousand, four hundred".