25885124741800 has 96 divisors (see below), whose sum is σ = 61202617156800. Its totient is φ = 10179231828480.

The previous prime is 25885124741761. The next prime is 25885124741807. The reversal of 25885124741800 is 814742158852.

It is a super-4 number, since 4×25885124741800⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (25885124741807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4819996 + ... + 8660404.

It is an arithmetic number, because the mean of its divisors is an integer number (637527262050).

Almost surely, 2^{25885124741800} is an apocalyptic number.

25885124741800 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 25885124741800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30601308578400).

25885124741800 is an abundant number, since it is smaller than the sum of its proper divisors (35317492415000).

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

25885124741800 is a wasteful number, since it uses less digits than its factorization.

25885124741800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840995 (or 3840986 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 55.

The spelling of 25885124741800 in words is "twenty-five trillion, eight hundred eighty-five billion, one hundred twenty-four million, seven hundred forty-one thousand, eight hundred".