20442166272 has 264 divisors, whose sum is σ = 67787796960. Its totient is φ = 5868011520.

The previous prime is 20442166267. The next prime is 20442166319. The reversal of 20442166272 is 27266124402.

20442166272 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 21 + 6 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1920838 + ... + 1931450.

Almost surely, 2^20442166272 is an apocalyptic number.

20442166272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33893898480).

20442166272 is an abundant number, since it is smaller than the sum of its proper divisors (47345630688).

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

20442166272 is a wasteful number, since it uses less digits than its factorization.

20442166272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10669 (or 10648 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20442166272 in words is "twenty billion, four hundred forty-two million, one hundred sixty-six thousand, two hundred seventy-two".