1810645125120 has 720 divisors, whose sum is σ = 7028083242180. Its totient is φ = 445662756864.

The previous prime is 1810645125097. The next prime is 1810645125127. The reversal of 1810645125120 is 215215460181.

1810645125120 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 645 + 1 + 2 + 5 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 209954571264 + 1600690553856 = 458208^2 + 1265184^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (1810645125127) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 140168902 + ... + 140181818.

Almost surely, 2^{1810645125120} is an apocalyptic number.

1810645125120 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 1810645125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514041621090).

1810645125120 is an abundant number, since it is smaller than the sum of its proper divisors (5217438117060).

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

1810645125120 is a wasteful number, since it uses less digits than its factorization.

1810645125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12982 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 1810645125120 in words is "one trillion, eight hundred ten billion, six hundred forty-five million, one hundred twenty-five thousand, one hundred twenty".