206712253440 has 2112 divisors, whose sum is σ = 993250252800. Its totient is φ = 38409338880.

The previous prime is 206712253403. The next prime is 206712253481. The reversal of 206712253440 is 44352217602.

206712253440 is a `hidden beast` number, since 2 + 0 + 67 + 1 + 22 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 206712253395 and 206712253404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1387330486 + ... + 1387330634.

Almost surely, 2^206712253440 is an apocalyptic number.

206712253440 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 206712253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496625126400).

206712253440 is an abundant number, since it is smaller than the sum of its proper divisors (786537999360).

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

206712253440 is a wasteful number, since it uses less digits than its factorization.

206712253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 206712253440 in words is "two hundred six billion, seven hundred twelve million, two hundred fifty-three thousand, four hundred forty".