25329660720 has 320 divisors, whose sum is σ = 97607752704. Its totient is φ = 5290905600.

The previous prime is 25329660709. The next prime is 25329660721. The reversal of 25329660720 is 2706692352.

It is a super-3 number, since 3×25329660720³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (25329660721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2200099 + ... + 2211581.

Almost surely, 2^25329660720 is an apocalyptic number.

25329660720 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 25329660720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48803876352).

25329660720 is an abundant number, since it is smaller than the sum of its proper divisors (72278091984).

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

25329660720 is a wasteful number, since it uses less digits than its factorization.

25329660720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11620 (or 11614 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 25329660720 in words is "twenty-five billion, three hundred twenty-nine million, six hundred sixty thousand, seven hundred twenty".