20417024617920 has 1176 divisors, whose sum is σ = 85628872383264. Its totient is φ = 4540122980352.

The previous prime is 20417024617909. The next prime is 20417024617939. The reversal of 20417024617920 is 2971642071402.

20417024617920 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 7 + 0 + 2 + 4 + 617 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2235517674 + ... + 2235526806.

Almost surely, 2^{20417024617920} is an apocalyptic number.

20417024617920 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 20417024617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42814436191632).

20417024617920 is an abundant number, since it is smaller than the sum of its proper divisors (65211847765344).

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

20417024617920 is an frugal number, since it uses more digits than its factorization.

20417024617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9249 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20417024617920 in words is "twenty trillion, four hundred seventeen billion, twenty-four million, six hundred seventeen thousand, nine hundred twenty".