20662938933120 has 1280 divisors, whose sum is σ = 83124021657600. Its totient is φ = 4847844556800.

The previous prime is 20662938933073. The next prime is 20662938933121. The reversal of 20662938933120 is 2133983926602.

It is a happy number.

20662938933120 is a `hidden beast` number, since 2 + 0 + 6 + 629 + 3 + 8 + 9 + 3 + 3 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20662938933121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2969236201 + ... + 2969243159.

It is an arithmetic number, because the mean of its divisors is an integer number (64940641920).

Almost surely, 2^{20662938933120} is an apocalyptic number.

20662938933120 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 20662938933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41562010828800).

20662938933120 is an abundant number, since it is smaller than the sum of its proper divisors (62461082724480).

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

20662938933120 is a wasteful number, since it uses less digits than its factorization.

20662938933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7169 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 20662938933120 in words is "twenty trillion, six hundred sixty-two billion, nine hundred thirty-eight million, nine hundred thirty-three thousand, one hundred twenty".