6000213542400 has 2520 divisors, whose sum is σ = 28308569111064. Its totient is φ = 1245752524800.

The previous prime is 6000213542369. The next prime is 6000213542417. The reversal of 6000213542400 is 42453120006.

6000213542400 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 213 + 5 + 42 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 5029516204 + ... + 5029517396.

Almost surely, 2^{6000213542400} is an apocalyptic number.

6000213542400 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 6000213542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154284555532).

6000213542400 is an abundant number, since it is smaller than the sum of its proper divisors (22308355568664).

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

6000213542400 is a wasteful number, since it uses less digits than its factorization.

6000213542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 6000213542400 its reverse (42453120006), we get a palindrome (6042666662406).

The spelling of 6000213542400 in words is "six trillion, two hundred thirteen million, five hundred forty-two thousand, four hundred".