25771329120 has 96 divisors (see below), whose sum is σ = 81414160128. Its totient is φ = 6852505088.

The previous prime is 25771329119. The next prime is 25771329121. The reversal of 25771329120 is 2192317752.

It is an interprime number because it is at equal distance from previous prime (25771329119) and next prime (25771329121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×25771329120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25771329121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89197 + ... + 243923.

It is an arithmetic number, because the mean of its divisors is an integer number (848064168).

Almost surely, 2^25771329120 is an apocalyptic number.

25771329120 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 25771329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40707080064).

25771329120 is an abundant number, since it is smaller than the sum of its proper divisors (55642831008).

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

25771329120 is a wasteful number, since it uses less digits than its factorization.

25771329120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155092 (or 155084 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 25771329120 in words is "twenty-five billion, seven hundred seventy-one million, three hundred twenty-nine thousand, one hundred twenty".