25155904878468 has 768 divisors, whose sum is σ = 84889302220800. Its totient is φ = 6260797255680.

The previous prime is 25155904878439. The next prime is 25155904878469. The reversal of 25155904878468 is 86487840955152.

25155904878468 is a `hidden beast` number, since 2 + 5 + 1 + 5 + 5 + 9 + 0 + 487 + 84 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25155904878396 and 25155904878405.

It is not an unprimeable number, because it can be changed into a prime (25155904878469) 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 255 ways as a sum of consecutive naturals, for example, 11326385598 + ... + 11326387818.

It is an arithmetic number, because the mean of its divisors is an integer number (110532945600).

Almost surely, 2^{25155904878468} is an apocalyptic number.

25155904878468 is a gapful number since it is divisible by the number (28) 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 25155904878468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42444651110400).

25155904878468 is an abundant number, since it is smaller than the sum of its proper divisors (59733397342332).

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

25155904878468 is a wasteful number, since it uses less digits than its factorization.

25155904878468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 774144000, while the sum is 72.

The spelling of 25155904878468 in words is "twenty-five trillion, one hundred fifty-five billion, nine hundred four million, eight hundred seventy-eight thousand, four hundred sixty-eight".