25860345867400 has 384 divisors, whose sum is σ = 70688675635200. Its totient is φ = 8700088320000.

The previous prime is 25860345867347. The next prime is 25860345867401. The reversal of 25860345867400 is 476854306852.

It is not an unprimeable number, because it can be changed into a prime (25860345867401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4217962335 + ... + 4217968465.

It is an arithmetic number, because the mean of its divisors is an integer number (184085092800).

Almost surely, 2^{25860345867400} is an apocalyptic number.

25860345867400 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 25860345867400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35344337817600).

25860345867400 is an abundant number, since it is smaller than the sum of its proper divisors (44828329767800).

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

25860345867400 is a wasteful number, since it uses less digits than its factorization.

25860345867400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8901 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 58.

The spelling of 25860345867400 in words is "twenty-five trillion, eight hundred sixty billion, three hundred forty-five million, eight hundred sixty-seven thousand, four hundred".