206715545400000 has 4032 divisors, whose sum is σ = 899894883041280. Its totient is φ = 41455411200000.

The previous prime is 206715545399989. The next prime is 206715545400047. The reversal of 206715545400000 is 4545517602.

It is a super-2 number, since 2×206715545400000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 864918599881 + ... + 864918600119.

It is an arithmetic number, because the mean of its divisors is an integer number (223188215040).

Almost surely, 2^{206715545400000} is an apocalyptic number.

206715545400000 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 206715545400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449947441520640).

206715545400000 is an abundant number, since it is smaller than the sum of its proper divisors (693179337641280).

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

206715545400000 is a wasteful number, since it uses less digits than its factorization.

206715545400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 206715545400000 in words is "two hundred six trillion, seven hundred fifteen billion, five hundred forty-five million, four hundred thousand".