20419620480 has 384 divisors, whose sum is σ = 83573642880. Its totient is φ = 4667092992.

The previous prime is 20419620461. The next prime is 20419620491. The reversal of 20419620480 is 8402691402.

20419620480 is a `hidden beast` number, since 20 + 4 + 1 + 9 + 620 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1079262 + ... + 1098018.

It is an arithmetic number, because the mean of its divisors is an integer number (217639695).

Almost surely, 2^20419620480 is an apocalyptic number.

20419620480 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 20419620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41786821440).

20419620480 is an abundant number, since it is smaller than the sum of its proper divisors (63154022400).

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

20419620480 is an equidigital number, since it uses as much as digits as its factorization.

20419620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18798 (or 18774 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 204196 and 20480, that added together give a square (224676 = 474²).

The spelling of 20419620480 in words is "twenty billion, four hundred nineteen million, six hundred twenty thousand, four hundred eighty".