25820377128 has 576 divisors, whose sum is σ = 94112928000. Its totient is φ = 6565805568.

The previous prime is 25820377127. The next prime is 25820377153. The reversal of 25820377128 is 82177302852.

25820377128 is a `hidden beast` number, since 258 + 2 + 0 + 377 + 1 + 28 = 666.

It is a super-3 number, since 3×25820377128³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (25820377127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35911153 + ... + 35911871.

It is an arithmetic number, because the mean of its divisors is an integer number (163390500).

Almost surely, 2^25820377128 is an apocalyptic number.

25820377128 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 25820377128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464000).

25820377128 is an abundant number, since it is smaller than the sum of its proper divisors (68292550872).

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

25820377128 is a wasteful number, since it uses less digits than its factorization.

25820377128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 25820377128 in words is "twenty-five billion, eight hundred twenty million, three hundred seventy-seven thousand, one hundred twenty-eight".