25735617116 has 48 divisors (see below), whose sum is σ = 51919176960. Its totient is φ = 11039109120.

The previous prime is 25735617073. The next prime is 25735617119. The reversal of 25735617116 is 61171653752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25735617119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154961 + ... + 274743.

It is an arithmetic number, because the mean of its divisors is an integer number (1081649520).

Almost surely, 2^25735617116 is an apocalyptic number.

It is an amenable number.

25735617116 is an abundant number, since it is smaller than the sum of its proper divisors (26183559844).

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

25735617116 is a wasteful number, since it uses less digits than its factorization.

25735617116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120074 (or 120072 counting only the distinct ones).

The product of its digits is 264600, while the sum is 44.

It can be divided in two parts, 257356 and 17116, that added together give a palindrome (274472).

The spelling of 25735617116 in words is "twenty-five billion, seven hundred thirty-five million, six hundred seventeen thousand, one hundred sixteen".