25755992064 has 480 divisors, whose sum is σ = 85561190400. Its totient is φ = 7591034880.

The previous prime is 25755992063. The next prime is 25755992071. The reversal of 25755992064 is 46029955752.

25755992064 is a `hidden beast` number, since 2 + 5 + 7 + 559 + 9 + 20 + 64 = 666.

It is a super-2 number, since 2×25755992064² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 25755992064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25755992063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326025177 + ... + 326025255.

It is an arithmetic number, because the mean of its divisors is an integer number (178252480).

Almost surely, 2^25755992064 is an apocalyptic number.

25755992064 is a gapful number since it is divisible by the number (24) 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 25755992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42780595200).

25755992064 is an abundant number, since it is smaller than the sum of its proper divisors (59805198336).

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

25755992064 is an equidigital number, since it uses as much as digits as its factorization.

25755992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 25755992064 in words is "twenty-five billion, seven hundred fifty-five million, nine hundred ninety-two thousand, sixty-four".