20458780608 has 224 divisors, whose sum is σ = 63006630400. Its totient is φ = 5738397696.

The previous prime is 20458780567. The next prime is 20458780619. The reversal of 20458780608 is 80608785402.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18120588 + ... + 18121716.

It is an arithmetic number, because the mean of its divisors is an integer number (281279600).

Almost surely, 2^20458780608 is an apocalyptic number.

20458780608 is a gapful number since it is divisible by the number (28) 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 20458780608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31503315200).

20458780608 is an abundant number, since it is smaller than the sum of its proper divisors (42547849792).

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

20458780608 is a wasteful number, since it uses less digits than its factorization.

20458780608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 20458780608 in words is "twenty billion, four hundred fifty-eight million, seven hundred eighty thousand, six hundred eight".