206747553012000 has 1536 divisors, whose sum is σ = 948928408436736. Its totient is φ = 37931655168000.

The previous prime is 206747553011947. The next prime is 206747553012001. The reversal of 206747553012000 is 210355747602.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (206747553012001) 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 255 ways as a sum of consecutive naturals, for example, 275901832 + ... + 276650168.

It is an arithmetic number, because the mean of its divisors is an integer number (617791932576).

Almost surely, 2^{206747553012000} is an apocalyptic number.

206747553012000 is a gapful number since it is divisible by the number (20) 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 206747553012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474464204218368).

206747553012000 is an abundant number, since it is smaller than the sum of its proper divisors (742180855424736).

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

206747553012000 is a wasteful number, since it uses less digits than its factorization.

206747553012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748419 (or 748401 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 206747553012000 in words is "two hundred six trillion, seven hundred forty-seven billion, five hundred fifty-three million, twelve thousand".