25273384260768 has 576 divisors, whose sum is σ = 85702204224000. Its totient is φ = 6912183140352.

The previous prime is 25273384260763. The next prime is 25273384260769. The reversal of 25273384260768 is 86706248337252.

25273384260768 is a `hidden beast` number, since 2 + 5 + 273 + 38 + 4 + 260 + 76 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25273384260763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3993263428 + ... + 3993269756.

It is an arithmetic number, because the mean of its divisors is an integer number (148788549000).

Almost surely, 2^{25273384260768} is an apocalyptic number.

25273384260768 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 25273384260768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42851102112000).

25273384260768 is an abundant number, since it is smaller than the sum of its proper divisors (60428819963232).

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

25273384260768 is a wasteful number, since it uses less digits than its factorization.

25273384260768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6957 (or 6946 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 25273384260768 in words is "twenty-five trillion, two hundred seventy-three billion, three hundred eighty-four million, two hundred sixty thousand, seven hundred sixty-eight".