25114661064 has 80 divisors (see below), whose sum is σ = 70765833600. Its totient is φ = 8321388768.

The previous prime is 25114661053. The next prime is 25114661087. The reversal of 25114661064 is 46016641152.

25114661064 is a `hidden beast` number, since 25 + 1 + 14 + 6 + 610 + 6 + 4 = 666.

It is a super-2 number, since 2×25114661064² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7824 + ... + 224255.

It is an arithmetic number, because the mean of its divisors is an integer number (884572920).

Almost surely, 2^25114661064 is an apocalyptic number.

25114661064 is a gapful number since it is divisible by the number (24) 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 25114661064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35382916800).

25114661064 is an abundant number, since it is smaller than the sum of its proper divisors (45651172536).

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

25114661064 is a wasteful number, since it uses less digits than its factorization.

25114661064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232264 (or 232251 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 25114661064 in words is "twenty-five billion, one hundred fourteen million, six hundred sixty-one thousand, sixty-four".