187820229379200 has 768 divisors, whose sum is σ = 680540951162880. Its totient is φ = 45151303680000.

The previous prime is 187820229379193. The next prime is 187820229379207. The reversal of 187820229379200 is 2973922028781.

It is an interprime number because it is at equal distance from previous prime (187820229379193) and next prime (187820229379207).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (187820229379207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6171987985 + ... + 6172018415.

It is an arithmetic number, because the mean of its divisors is an integer number (886121030160).

Almost surely, 2^{187820229379200} is an apocalyptic number.

187820229379200 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 187820229379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340270475581440).

187820229379200 is an abundant number, since it is smaller than the sum of its proper divisors (492720721783680).

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

187820229379200 is a wasteful number, since it uses less digits than its factorization.

187820229379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30957 (or 30940 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 187820229379200 in words is "one hundred eighty-seven trillion, eight hundred twenty billion, two hundred twenty-nine million, three hundred seventy-nine thousand, two hundred".