1801025372160 has 540 divisors, whose sum is σ = 7262834516028. Its totient is φ = 411654684672.

The previous prime is 1801025372131. The next prime is 1801025372171. The reversal of 1801025372160 is 612735201081.

1801025372160 is a `hidden beast` number, since 1 + 8 + 0 + 102 + 537 + 2 + 16 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 458838245376 + 1342187126784 = 677376^2 + 1158528^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36101794 + ... + 36151646.

Almost surely, 2^{1801025372160} is an apocalyptic number.

1801025372160 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 1801025372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631417258014).

1801025372160 is an abundant number, since it is smaller than the sum of its proper divisors (5461809143868).

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

1801025372160 is an equidigital number, since it uses as much as digits as its factorization.

1801025372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49906 (or 49870 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1801025372160 in words is "one trillion, eight hundred one billion, twenty-five million, three hundred seventy-two thousand, one hundred sixty".