25973329536 has 768 divisors, whose sum is σ = 101582208000. Its totient is φ = 6377564160.

The previous prime is 25973329511. The next prime is 25973329559. The reversal of 25973329536 is 63592337952.

25973329536 is a `hidden beast` number, since 2 + 5 + 9 + 73 + 32 + 9 + 536 = 666.

It is a super-2 number, since 2×25973329536² (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 congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 55617175 + ... + 55617641.

It is an arithmetic number, because the mean of its divisors is an integer number (132268500).

Almost surely, 2^25973329536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25973329536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50791104000).

25973329536 is an abundant number, since it is smaller than the sum of its proper divisors (75608878464).

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

25973329536 is a wasteful number, since it uses less digits than its factorization.

25973329536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 509 counting only the distinct ones).

The product of its digits is 9185400, while the sum is 54.

The spelling of 25973329536 in words is "twenty-five billion, nine hundred seventy-three million, three hundred twenty-nine thousand, five hundred thirty-six".