20417080320 has 880 divisors, whose sum is σ = 90213549888. Its totient is φ = 4299816960.

The previous prime is 20417080319. The next prime is 20417080349. The reversal of 20417080320 is 2308071402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739250 + ... + 37739790.

Almost surely, 2^20417080320 is an apocalyptic number.

20417080320 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 20417080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45106774944).

20417080320 is an abundant number, since it is smaller than the sum of its proper divisors (69796469568).

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

20417080320 is a wasteful number, since it uses less digits than its factorization.

20417080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 571 counting only the distinct ones).

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

The spelling of 20417080320 in words is "twenty billion, four hundred seventeen million, eighty thousand, three hundred twenty".