25695633659652 has 144 divisors (see below), whose sum is σ = 73493254545984. Its totient is φ = 7501096800000.

The previous prime is 25695633659651. The next prime is 25695633659779.

25695633659652 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 563 + 3 + 6 + 5 + 9 + 6 + 52 = 666.

25695633659652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25695633659652² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25695633659651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7201974 + ... + 10161677.

It is an arithmetic number, because the mean of its divisors is an integer number (510369823236).

Almost surely, 2^{25695633659652} is an apocalyptic number.

25695633659652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25695633659652 is an abundant number, since it is smaller than the sum of its proper divisors (47797620886332).

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

25695633659652 is a wasteful number, since it uses less digits than its factorization.

25695633659652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17363810 (or 17363805 counting only the distinct ones).

The product of its digits is 2361960000, while the sum is 72.

The spelling of 25695633659652 in words is "twenty-five trillion, six hundred ninety-five billion, six hundred thirty-three million, six hundred fifty-nine thousand, six hundred fifty-two".