1820006053776 has 405 divisors, whose sum is σ = 5522171077683. Its totient is φ = 559488798720.

The previous prime is 1820006053759. The next prime is 1820006053787. The reversal of 1820006053776 is 6773506000281.

The square root of 1820006053776 is 1349076.

It is a perfect power (a square), and thus also a powerful number.

1820006053776 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 0 + 0 + 605 + 37 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 675585363600 + 1144420690176 = 821940^2 + 1069776^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18762948960 + ... + 18762949056.

Almost surely, 2^{1820006053776} is an apocalyptic number.

1820006053776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1820006053776 is the 1349076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820006053776

1820006053776 is an abundant number, since it is smaller than the sum of its proper divisors (3702165023907).

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

1820006053776 is an equidigital number, since it uses as much as digits as its factorization.

1820006053776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1820006053776 in words is "one trillion, eight hundred twenty billion, six million, fifty-three thousand, seven hundred seventy-six".