25255736862720 has 3456 divisors, whose sum is σ = 112144965004800. Its totient is φ = 4792013291520.

The previous prime is 25255736862709. The next prime is 25255736862793. The reversal of 25255736862720 is 2726863755252.

It is a super-3 number, since 3×25255736862720³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 319692871641 + ... + 319692871719.

It is an arithmetic number, because the mean of its divisors is an integer number (32449353300).

Almost surely, 2^{25255736862720} is an apocalyptic number.

25255736862720 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 25255736862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56072482502400).

25255736862720 is an abundant number, since it is smaller than the sum of its proper divisors (86889228142080).

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

25255736862720 is a wasteful number, since it uses less digits than its factorization.

25255736862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 60.

The spelling of 25255736862720 in words is "twenty-five trillion, two hundred fifty-five billion, seven hundred thirty-six million, eight hundred sixty-two thousand, seven hundred twenty".