25872924026880 has 1536 divisors, whose sum is σ = 114214883328000. Its totient is φ = 5421591429120.

The previous prime is 25872924026879. The next prime is 25872924026893. The reversal of 25872924026880 is 8862042927852.

25872924026880 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 2 + 92 + 402 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1139915692 + ... + 1139938388.

It is an arithmetic number, because the mean of its divisors is an integer number (74358648000).

Almost surely, 2^{25872924026880} is an apocalyptic number.

25872924026880 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 25872924026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57107441664000).

25872924026880 is an abundant number, since it is smaller than the sum of its proper divisors (88341959301120).

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

25872924026880 is a wasteful number, since it uses less digits than its factorization.

25872924026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22790 (or 22764 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 25872924026880 in words is "twenty-five trillion, eight hundred seventy-two billion, nine hundred twenty-four million, twenty-six thousand, eight hundred eighty".