25564734120 has 128 divisors (see below), whose sum is σ = 79580390400. Its totient is φ = 6564519936.

The previous prime is 25564734119. The next prime is 25564734121. The reversal of 25564734120 is 2143746552.

It is an interprime number because it is at equal distance from previous prime (25564734119) and next prime (25564734121).

It is not an unprimeable number, because it can be changed into a prime (25564734121) 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 31 ways as a sum of consecutive naturals, for example, 401001 + ... + 460359.

It is an arithmetic number, because the mean of its divisors is an integer number (621721800).

Almost surely, 2^25564734120 is an apocalyptic number.

25564734120 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 25564734120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39790195200).

25564734120 is an abundant number, since it is smaller than the sum of its proper divisors (54015656280).

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

25564734120 is a wasteful number, since it uses less digits than its factorization.

25564734120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59507 (or 59503 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 25564734120 in words is "twenty-five billion, five hundred sixty-four million, seven hundred thirty-four thousand, one hundred twenty".