22251126626000 has 80 divisors (see below), whose sum is σ = 54357897069840. Its totient is φ = 8808693350400.

The previous prime is 22251126625919. The next prime is 22251126626023. The reversal of 22251126626000 is 62662115222.

It can be written as a sum of positive squares in 8 ways, for example, as 4353014886544 + 17898111739456 = 2086388^2 + 4230616^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22251126626000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57154265 + ... + 57542264.

It is an arithmetic number, because the mean of its divisors is an integer number (679473713373).

Almost surely, 2^{22251126626000} is an apocalyptic number.

22251126626000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22251126626000 is an abundant number, since it is smaller than the sum of its proper divisors (32106770443840).

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

22251126626000 is a wasteful number, since it uses less digits than its factorization.

22251126626000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114696649 (or 114696633 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 22251126626000 in words is "twenty-two trillion, two hundred fifty-one billion, one hundred twenty-six million, six hundred twenty-six thousand".