25766199166752 has 72 divisors (see below), whose sum is σ = 79933776970320. Its totient is φ = 7807939140480.

The previous prime is 25766199166693. The next prime is 25766199166753.

It is a happy number.

25766199166752 is a `hidden beast` number, since 257 + 6 + 61 + 99 + 166 + 75 + 2 = 666.

25766199166752 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (25766199166753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4066631802 + ... + 4066638137.

It is an arithmetic number, because the mean of its divisors is an integer number (1110191346810).

Almost surely, 2^{25766199166752} is an apocalyptic number.

25766199166752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25766199166752 is an abundant number, since it is smaller than the sum of its proper divisors (54167577803568).

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

25766199166752 is a wasteful number, since it uses less digits than its factorization.

25766199166752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8133269966 (or 8133269955 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 25766199166752 in words is "twenty-five trillion, seven hundred sixty-six billion, one hundred ninety-nine million, one hundred sixty-six thousand, seven hundred fifty-two".