1868205427200 has 1920 divisors, whose sum is σ = 8378320896000. Its totient is φ = 398529331200.

The previous prime is 1868205427141. The next prime is 1868205427259. The reversal of 1868205427200 is 27245028681.

1868205427200 is a `hidden beast` number, since 1 + 8 + 6 + 82 + 0 + 542 + 7 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1868205427141) and next prime (1868205427259).

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 2174860371 + ... + 2174861229.

It is an arithmetic number, because the mean of its divisors is an integer number (4363708800).

Almost surely, 2^{1868205427200} is an apocalyptic number.

1868205427200 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 1868205427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189160448000).

1868205427200 is an abundant number, since it is smaller than the sum of its proper divisors (6510115468800).

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

1868205427200 is a wasteful number, since it uses less digits than its factorization.

1868205427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1868205427200 in words is "one trillion, eight hundred sixty-eight billion, two hundred five million, four hundred twenty-seven thousand, two hundred".