1820859348420 has 288 divisors, whose sum is σ = 6532951815936. Its totient is φ = 401858150400.

The previous prime is 1820859348401. The next prime is 1820859348521. The reversal of 1820859348420 is 248439580281.

1820859348420 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 8 + 593 + 4 + 8 + 42 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4829335 + ... + 5192705.

It is an arithmetic number, because the mean of its divisors is an integer number (22683860472).

Almost surely, 2^{1820859348420} is an apocalyptic number.

1820859348420 is a gapful number since it is divisible by the number (10) 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 1820859348420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266475907968).

1820859348420 is an abundant number, since it is smaller than the sum of its proper divisors (4712092467516).

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

1820859348420 is a wasteful number, since it uses less digits than its factorization.

1820859348420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363531 (or 363526 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 1820859348420 in words is "one trillion, eight hundred twenty billion, eight hundred fifty-nine million, three hundred forty-eight thousand, four hundred twenty".