25762732320 has 768 divisors, whose sum is σ = 97542144000. Its totient is φ = 5657444352.

The previous prime is 25762732213. The next prime is 25762732381. The reversal of 25762732320 is 2323726752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 202856097 + ... + 202856223.

It is an arithmetic number, because the mean of its divisors is an integer number (127008000).

Almost surely, 2^25762732320 is an apocalyptic number.

25762732320 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 25762732320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48771072000).

25762732320 is an abundant number, since it is smaller than the sum of its proper divisors (71779411680).

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

25762732320 is a wasteful number, since it uses less digits than its factorization.

25762732320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The spelling of 25762732320 in words is "twenty-five billion, seven hundred sixty-two million, seven hundred thirty-two thousand, three hundred twenty".