20101760022720 has 224 divisors, whose sum is σ = 65557820510208. Its totient is φ = 5216088666112.

The previous prime is 20101760022719. The next prime is 20101760022727. The reversal of 20101760022720 is 2722006710102.

It is a super-2 number, since 2×20101760022720² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20101760022727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6518137 + ... + 9093383.

Almost surely, 2^{20101760022720} is an apocalyptic number.

20101760022720 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 20101760022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32778910255104).

20101760022720 is an abundant number, since it is smaller than the sum of its proper divisors (45456060487488).

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

20101760022720 is a wasteful number, since it uses less digits than its factorization.

20101760022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575487 (or 2575477 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

Adding to 20101760022720 its reverse (2722006710102), we get a palindrome (22823766732822).

The spelling of 20101760022720 in words is "twenty trillion, one hundred one billion, seven hundred sixty million, twenty-two thousand, seven hundred twenty".