1820253038256 has 240 divisors, whose sum is σ = 5311460044800. Its totient is φ = 581525199360.

The previous prime is 1820253038239. The next prime is 1820253038267. The reversal of 1820253038256 is 6528303520281.

1820253038256 is a `hidden beast` number, since 1 + 82 + 0 + 2 + 530 + 38 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×1820253038256² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71585961 + ... + 71611383.

It is an arithmetic number, because the mean of its divisors is an integer number (22131083520).

Almost surely, 2^{1820253038256} is an apocalyptic number.

1820253038256 is a gapful number since it is divisible by the number (16) 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 1820253038256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655730022400).

1820253038256 is an abundant number, since it is smaller than the sum of its proper divisors (3491207006544).

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

1820253038256 is a wasteful number, since it uses less digits than its factorization.

1820253038256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25704 (or 25695 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1820253038256 in words is "one trillion, eight hundred twenty billion, two hundred fifty-three million, thirty-eight thousand, two hundred fifty-six".