1813520673900 has 864 divisors, whose sum is σ = 6729292297728. Its totient is φ = 404257996800.

The previous prime is 1813520673889. The next prime is 1813520673949. The reversal of 1813520673900 is 93760253181.

1813520673900 is a `hidden beast` number, since 181 + 3 + 5 + 20 + 67 + 390 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1214681554 + ... + 1214683046.

It is an arithmetic number, because the mean of its divisors is an integer number (7788532752).

Almost surely, 2^{1813520673900} is an apocalyptic number.

1813520673900 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 1813520673900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364646148864).

1813520673900 is an abundant number, since it is smaller than the sum of its proper divisors (4915771623828).

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

1813520673900 is a wasteful number, since it uses less digits than its factorization.

1813520673900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1813520673900 in words is "one trillion, eight hundred thirteen billion, five hundred twenty million, six hundred seventy-three thousand, nine hundred".