20490117120 has 672 divisors, whose sum is σ = 80475393024. Its totient is φ = 4777574400.

The previous prime is 20490117107. The next prime is 20490117169. The reversal of 20490117120 is 2171109402.

20490117120 is a `hidden beast` number, since 2 + 0 + 490 + 1 + 171 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125706159 + ... + 125706321.

Almost surely, 2^20490117120 is an apocalyptic number.

20490117120 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 20490117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40237696512).

20490117120 is an abundant number, since it is smaller than the sum of its proper divisors (59985275904).

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

20490117120 is a wasteful number, since it uses less digits than its factorization.

20490117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 20490117120 in words is "twenty billion, four hundred ninety million, one hundred seventeen thousand, one hundred twenty".