1830355561200 has 240 divisors, whose sum is σ = 6006208792320. Its totient is φ = 476218122240.

The previous prime is 1830355561169. The next prime is 1830355561201. The reversal of 1830355561200 is 21655530381.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830355561201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47917309 + ... + 47955491.

It is an arithmetic number, because the mean of its divisors is an integer number (25025869968).

Almost surely, 2^{1830355561200} is an apocalyptic number.

1830355561200 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 1830355561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003104396160).

1830355561200 is an abundant number, since it is smaller than the sum of its proper divisors (4175853231120).

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

1830355561200 is a wasteful number, since it uses less digits than its factorization.

1830355561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39176 (or 39165 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 1830355561200 in words is "one trillion, eight hundred thirty billion, three hundred fifty-five million, five hundred sixty-one thousand, two hundred".