206142748920 has 96 divisors (see below), whose sum is σ = 676110520800. Its totient is φ = 54467064576.

The previous prime is 206142748919. The next prime is 206142748927. The reversal of 206142748920 is 29847241602.

206142748920 is a `hidden beast` number, since 2 + 0 + 6 + 142 + 7 + 489 + 20 = 666.

It is a super-2 number, since 2×206142748920² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (206142748927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2587452 + ... + 2665931.

It is an arithmetic number, because the mean of its divisors is an integer number (7042817925).

Almost surely, 2^206142748920 is an apocalyptic number.

206142748920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206142748920 is an abundant number, since it is smaller than the sum of its proper divisors (469967771880).

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

206142748920 is a wasteful number, since it uses less digits than its factorization.

206142748920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253509 (or 5253502 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 206142748920 in words is "two hundred six billion, one hundred forty-two million, seven hundred forty-eight thousand, nine hundred twenty".