21066117120 has 728 divisors, whose sum is σ = 81219465936. Its totient is φ = 5223481344.

The previous prime is 21066117119. The next prime is 21066117167. The reversal of 21066117120 is 2171166012.

It is a happy number.

21066117120 is a `hidden beast` number, since 21 + 0 + 6 + 611 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 253808599 + ... + 253808681.

Almost surely, 2^21066117120 is an apocalyptic number.

21066117120 is a gapful number since it is divisible by the number (20) 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 21066117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40609732968).

21066117120 is an abundant number, since it is smaller than the sum of its proper divisors (60153348816).

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

21066117120 is an frugal number, since it uses more digits than its factorization.

21066117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 21066117120 in words is "twenty-one billion, sixty-six million, one hundred seventeen thousand, one hundred twenty".