25730518320 has 800 divisors, whose sum is σ = 101633495040. Its totient is φ = 5989386240.

The previous prime is 25730518291. The next prime is 25730518367. The reversal of 25730518320 is 2381503752.

It is a happy number.

25730518320 is a `hidden beast` number, since 2 + 573 + 0 + 5 + 1 + 83 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 154074877 + ... + 154075043.

Almost surely, 2^25730518320 is an apocalyptic number.

25730518320 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 25730518320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50816747520).

25730518320 is an abundant number, since it is smaller than the sum of its proper divisors (75902976720).

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

25730518320 is a wasteful number, since it uses less digits than its factorization.

25730518320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

It can be divided in two parts, 257305 and 18320, that added together give a square (275625 = 525²).

The spelling of 25730518320 in words is "twenty-five billion, seven hundred thirty million, five hundred eighteen thousand, three hundred twenty".