20762421120 has 1024 divisors, whose sum is σ = 89303040000. Its totient is φ = 4551966720.

The previous prime is 20762421091. The next prime is 20762421131. The reversal of 20762421120 is 2112426702.

20762421120 is a `hidden beast` number, since 2 + 0 + 7 + 624 + 2 + 11 + 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 127 ways as a sum of consecutive naturals, for example, 183738184 + ... + 183738296.

It is an arithmetic number, because the mean of its divisors is an integer number (87210000).

Almost surely, 2^20762421120 is an apocalyptic number.

20762421120 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 20762421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44651520000).

20762421120 is an abundant number, since it is smaller than the sum of its proper divisors (68540618880).

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

20762421120 is a wasteful number, since it uses less digits than its factorization.

20762421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 20762421120 its reverse (2112426702), we get a palindrome (22874847822).

The spelling of 20762421120 in words is "twenty billion, seven hundred sixty-two million, four hundred twenty-one thousand, one hundred twenty".