22725162260127 has 160 divisors (see below), whose sum is σ = 37091307939840. Its totient is φ = 13825279480320.

The previous prime is 22725162260117. The next prime is 22725162260167. The reversal of 22725162260127 is 72106226152722.

22725162260127 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 5 + 1 + 622 + 6 + 0 + 12 + 7 = 666.

It is not a de Polignac number, because 22725162260127 - 2⁷ = 22725162259999 is a prime.

It is a super-2 number, since 2×22725162260127² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22725162260117) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6077869824 + ... + 6077873562.

It is an arithmetic number, because the mean of its divisors is an integer number (231820674624).

Almost surely, 2^{22725162260127} is an apocalyptic number.

22725162260127 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

22725162260127 is a deficient number, since it is larger than the sum of its proper divisors (14366145679713).

22725162260127 is a wasteful number, since it uses less digits than its factorization.

22725162260127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 22725162260127 in words is "twenty-two trillion, seven hundred twenty-five billion, one hundred sixty-two million, two hundred sixty thousand, one hundred twenty-seven".