20417276880 has 1920 divisors, whose sum is σ = 102593433600. Its totient is φ = 3657830400.

The previous prime is 20417276857. The next prime is 20417276917. The reversal of 20417276880 is 8867271402.

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 383 ways as a sum of consecutive naturals, for example, 287567245 + ... + 287567315.

It is an arithmetic number, because the mean of its divisors is an integer number (53434080).

Almost surely, 2^20417276880 is an apocalyptic number.

20417276880 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 20417276880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51296716800).

20417276880 is an abundant number, since it is smaller than the sum of its proper divisors (82176156720).

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

20417276880 is a wasteful number, since it uses less digits than its factorization.

20417276880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 20417276880 in words is "twenty billion, four hundred seventeen million, two hundred seventy-six thousand, eight hundred eighty".