6011946547200 has 864 divisors, whose sum is σ = 24035331640320. Its totient is φ = 1423495987200.

The previous prime is 6011946547171. The next prime is 6011946547223. The reversal of 6011946547200 is 27456491106.

6011946547200 is a `hidden beast` number, since 6 + 0 + 11 + 94 + 6 + 547 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×6011946547200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 217944609 + ... + 217972191.

It is an arithmetic number, because the mean of its divisors is an integer number (27818670880).

Almost surely, 2^{6011946547200} is an apocalyptic number.

6011946547200 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 6011946547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12017665820160).

6011946547200 is an abundant number, since it is smaller than the sum of its proper divisors (18023385093120).

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

6011946547200 is a wasteful number, since it uses less digits than its factorization.

6011946547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27675 (or 27647 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 6011946547200 in words is "six trillion, eleven billion, nine hundred forty-six million, five hundred forty-seven thousand, two hundred".