6135222643200 has 1440 divisors, whose sum is σ = 26650915125120. Its totient is φ = 1315779379200.

The previous prime is 6135222643189. The next prime is 6135222643211. The reversal of 6135222643200 is 23462225316.

6135222643200 is a `hidden beast` number, since 6 + 1 + 3 + 5 + 2 + 2 + 2 + 643 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6135222643189) and next prime (6135222643211).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7142284371 + ... + 7142285229.

It is an arithmetic number, because the mean of its divisors is an integer number (18507579948).

Almost surely, 2^{6135222643200} is an apocalyptic number.

6135222643200 is a gapful number since it is divisible by the number (60) 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 6135222643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13325457562560).

6135222643200 is an abundant number, since it is smaller than the sum of its proper divisors (20515692481920).

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

6135222643200 is a wasteful number, since it uses less digits than its factorization.

6135222643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 6135222643200 its reverse (23462225316), we get a palindrome (6158684868516).

The spelling of 6135222643200 in words is "six trillion, one hundred thirty-five billion, two hundred twenty-two million, six hundred forty-three thousand, two hundred".