25890064179984 has 45 divisors (see below), whose sum is σ = 72456392161543. Its totient is φ = 8630001040416.

The previous prime is 25890064179961. The next prime is 25890064179989. The reversal of 25890064179984 is 48997146009852.

The square root of 25890064179984 is 5088228.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25890064179989) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 60846727 + ... + 61270745.

Almost surely, 2^{25890064179984} is an apocalyptic number.

25890064179984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25890064179984 is the 5088228-th square number.

It is an amenable number.

25890064179984 is an abundant number, since it is smaller than the sum of its proper divisors (46566327981559).

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

25890064179984 is an frugal number, since it uses more digits than its factorization.

25890064179984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848052 (or 424024 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 25890064179984 in words is "twenty-five trillion, eight hundred ninety billion, sixty-four million, one hundred seventy-nine thousand, nine hundred eighty-four".