20420489790600 has 1152 divisors, whose sum is σ = 73116363467520. Its totient is φ = 4687698329600.

The previous prime is 20420489790593. The next prime is 20420489790667. The reversal of 20420489790600 is 609798402402.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 287 ways as a sum of consecutive naturals, for example, 20901217312 + ... + 20901218288.

It is an arithmetic number, because the mean of its divisors is an integer number (63469065510).

Almost surely, 2^{20420489790600} is an apocalyptic number.

20420489790600 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 20420489790600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36558181733760).

20420489790600 is an abundant number, since it is smaller than the sum of its proper divisors (52695873676920).

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

20420489790600 is a wasteful number, since it uses less digits than its factorization.

20420489790600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 20420489790600 in words is "twenty trillion, four hundred twenty billion, four hundred eighty-nine million, seven hundred ninety thousand, six hundred".