21167766126 has 120 divisors (see below), whose sum is σ = 54065234520. Its totient is φ = 6170209344.

The previous prime is 21167766097. The next prime is 21167766149. The reversal of 21167766126 is 62166776112.

21167766126 is a `hidden beast` number, since 21 + 1 + 6 + 7 + 7 + 6 + 612 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 499836 + ... + 540528.

It is an arithmetic number, because the mean of its divisors is an integer number (450543621).

Almost surely, 2^21167766126 is an apocalyptic number.

21167766126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21167766126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27032617260).

21167766126 is an abundant number, since it is smaller than the sum of its proper divisors (32897468394).

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

21167766126 is a wasteful number, since it uses less digits than its factorization.

21167766126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40752 (or 40730 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 21167766126 in words is "twenty-one billion, one hundred sixty-seven million, seven hundred sixty-six thousand, one hundred twenty-six".