25255768419504 has 240 divisors, whose sum is σ = 84766019910240. Its totient is φ = 7178544414720.

The previous prime is 25255768419491. The next prime is 25255768419509. The reversal of 25255768419504 is 40591486755252.

25255768419504 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 57 + 68 + 4 + 19 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (25255768419509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 994464 + ... + 7176384.

It is an arithmetic number, because the mean of its divisors is an integer number (353191749626).

Almost surely, 2^{25255768419504} is an apocalyptic number.

25255768419504 is a gapful number since it is divisible by the number (24) 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 25255768419504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42383009955120).

25255768419504 is an abundant number, since it is smaller than the sum of its proper divisors (59510251490736).

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

25255768419504 is a wasteful number, since it uses less digits than its factorization.

25255768419504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182145 (or 6182126 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 25255768419504 in words is "twenty-five trillion, two hundred fifty-five billion, seven hundred sixty-eight million, four hundred nineteen thousand, five hundred four".