20485920960 has 336 divisors, whose sum is σ = 73092015360. Its totient is φ = 5260861440.

The previous prime is 20485920919. The next prime is 20485920977. The reversal of 20485920960 is 6902958402.

20485920960 is a `hidden beast` number, since 20 + 485 + 92 + 0 + 9 + 60 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 24015894 + ... + 24016746.

It is an arithmetic number, because the mean of its divisors is an integer number (217535760).

Almost surely, 2^20485920960 is an apocalyptic number.

20485920960 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 20485920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36546007680).

20485920960 is an abundant number, since it is smaller than the sum of its proper divisors (52606094400).

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

20485920960 is a wasteful number, since it uses less digits than its factorization.

20485920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20485920960 in words is "twenty billion, four hundred eighty-five million, nine hundred twenty thousand, nine hundred sixty".