1827216100800 has 336 divisors, whose sum is σ = 6662930926080. Its totient is φ = 487107578880.

The previous prime is 1827216100781. The next prime is 1827216100807. The reversal of 1827216100800 is 80016127281.

1827216100800 is a `hidden beast` number, since 18 + 2 + 7 + 21 + 610 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1827216100807) 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, 266238169 + ... + 266245031.

Almost surely, 2^{1827216100800} is an apocalyptic number.

1827216100800 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 1827216100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331465463040).

1827216100800 is an abundant number, since it is smaller than the sum of its proper divisors (4835714825280).

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

1827216100800 is a wasteful number, since it uses less digits than its factorization.

1827216100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13057 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 1827216100800 in words is "one trillion, eight hundred twenty-seven billion, two hundred sixteen million, one hundred thousand, eight hundred".