25878466932240 has 320 divisors, whose sum is σ = 91605436876800. Its totient is φ = 5986908536832.

The previous prime is 25878466932191. The next prime is 25878466932247. The reversal of 25878466932240 is 4223966487852.

It is not an unprimeable number, because it can be changed into a prime (25878466932247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 37261281 + ... + 37949439.

It is an arithmetic number, because the mean of its divisors is an integer number (286266990240).

Almost surely, 2^{25878466932240} is an apocalyptic number.

25878466932240 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 25878466932240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45802718438400).

25878466932240 is an abundant number, since it is smaller than the sum of its proper divisors (65726969944560).

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

25878466932240 is a wasteful number, since it uses less digits than its factorization.

25878466932240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688914 (or 688908 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 66.

The spelling of 25878466932240 in words is "twenty-five trillion, eight hundred seventy-eight billion, four hundred sixty-six million, nine hundred thirty-two thousand, two hundred forty".