25842136320 has 1728 divisors, whose sum is σ = 125994645504. Its totient is φ = 4897013760.

The previous prime is 25842136297. The next prime is 25842136357. The reversal of 25842136320 is 2363124852.

25842136320 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 2 + 13 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 311350999 + ... + 311351081.

It is an arithmetic number, because the mean of its divisors is an integer number (72913568).

Almost surely, 2^25842136320 is an apocalyptic number.

25842136320 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 25842136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62997322752).

25842136320 is an abundant number, since it is smaller than the sum of its proper divisors (100152509184).

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

25842136320 is a wasteful number, since it uses less digits than its factorization.

25842136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 25842136320 in words is "twenty-five billion, eight hundred forty-two million, one hundred thirty-six thousand, three hundred twenty".