25906012761167 has 24 divisors (see below), whose sum is σ = 32876309848320. Its totient is φ = 20185799099760.

The previous prime is 25906012761163. The next prime is 25906012761203. The reversal of 25906012761167 is 76116721060952.

It is not a de Polignac number, because 25906012761167 - 2² = 25906012761163 is a prime.

It is a super-3 number, since 3×25906012761167³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25906012761163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14897084 + ... + 16544942.

It is an arithmetic number, because the mean of its divisors is an integer number (1369846243680).

Almost surely, 2^{25906012761167} is an apocalyptic number.

25906012761167 is a deficient number, since it is larger than the sum of its proper divisors (6970297087153).

25906012761167 is a wasteful number, since it uses less digits than its factorization.

25906012761167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677051 (or 1677044 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 25906012761167 in words is "twenty-five trillion, nine hundred six billion, twelve million, seven hundred sixty-one thousand, one hundred sixty-seven".