25760598240 has 768 divisors, whose sum is σ = 97758904320. Its totient is φ = 5643509760.

The previous prime is 25760598223. The next prime is 25760598337. The reversal of 25760598240 is 4289506752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25760598240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158040399 + ... + 158040561.

It is an arithmetic number, because the mean of its divisors is an integer number (127290240).

Almost surely, 2^25760598240 is an apocalyptic number.

25760598240 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 25760598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48879452160).

25760598240 is an abundant number, since it is smaller than the sum of its proper divisors (71998306080).

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

25760598240 is a wasteful number, since it uses less digits than its factorization.

25760598240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 25760598240 in words is "twenty-five billion, seven hundred sixty million, five hundred ninety-eight thousand, two hundred forty".