20778024960 has 1024 divisors, whose sum is σ = 93615436800. Its totient is φ = 4246732800.

The previous prime is 20778024931. The next prime is 20778025027. The reversal of 20778024960 is 6942087702.

It is a tau number, because it is divible by the number of its divisors (1024).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340623330 + ... + 340623390.

It is an arithmetic number, because the mean of its divisors is an integer number (91421325).

Almost surely, 2^20778024960 is an apocalyptic number.

20778024960 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 20778024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46807718400).

20778024960 is an abundant number, since it is smaller than the sum of its proper divisors (72837411840).

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

20778024960 is an equidigital number, since it uses as much as digits as its factorization.

20778024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

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

The spelling of 20778024960 in words is "twenty billion, seven hundred seventy-eight million, twenty-four thousand, nine hundred sixty".