25736457120 has 192 divisors, whose sum is σ = 88647519744. Its totient is φ = 6224491520.

The previous prime is 25736457079. The next prime is 25736457127. The reversal of 25736457120 is 2175463752.

It is not an unprimeable number, because it can be changed into a prime (25736457127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2333539 + ... + 2344541.

It is an arithmetic number, because the mean of its divisors is an integer number (461705832).

Almost surely, 2^25736457120 is an apocalyptic number.

25736457120 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 25736457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44323759872).

25736457120 is an abundant number, since it is smaller than the sum of its proper divisors (62911062624).

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

25736457120 is a wasteful number, since it uses less digits than its factorization.

25736457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11475 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 25736457120 in words is "twenty-five billion, seven hundred thirty-six million, four hundred fifty-seven thousand, one hundred twenty".