20066135700 has 288 divisors, whose sum is σ = 64885847040. Its totient is φ = 4754534400.

The previous prime is 20066135699. The next prime is 20066135707. The reversal of 20066135700 is 753166002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20066135707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32521792 + ... + 32522408.

It is an arithmetic number, because the mean of its divisors is an integer number (225298080).

Almost surely, 2^20066135700 is an apocalyptic number.

20066135700 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 20066135700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32442923520).

20066135700 is an abundant number, since it is smaller than the sum of its proper divisors (44819711340).

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

20066135700 is a wasteful number, since it uses less digits than its factorization.

20066135700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 20066135700 in words is "twenty billion, sixty-six million, one hundred thirty-five thousand, seven hundred".