20090164937920 has 896 divisors, whose sum is σ = 61644312576000. Its totient is φ = 6181959168000.

The previous prime is 20090164937903. The next prime is 20090164937923. The reversal of 20090164937920 is 2973946109002.

It is a happy number.

It is a super-2 number, since 2×20090164937920² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20090164937923) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47947887471 + ... + 47947887889.

It is an arithmetic number, because the mean of its divisors is an integer number (68799456000).

Almost surely, 2^{20090164937920} is an apocalyptic number.

20090164937920 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 20090164937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30822156288000).

20090164937920 is an abundant number, since it is smaller than the sum of its proper divisors (41554147638080).

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

20090164937920 is a wasteful number, since it uses less digits than its factorization.

20090164937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 20090164937920 in words is "twenty trillion, ninety billion, one hundred sixty-four million, nine hundred thirty-seven thousand, nine hundred twenty".