208772085690 has 768 divisors, whose sum is σ = 714844569600. Its totient is φ = 43066598400.

The previous prime is 208772085661. The next prime is 208772085751. The reversal of 208772085690 is 96580277802.

It is a happy number.

208772085690 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 72 + 0 + 8 + 569 + 0 = 666.

It is a super-2 number, since 2×208772085690² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 484389775 + ... + 484390205.

It is an arithmetic number, because the mean of its divisors is an integer number (930787200).

Almost surely, 2^208772085690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208772085690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357422284800).

208772085690 is an abundant number, since it is smaller than the sum of its proper divisors (506072483910).

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

208772085690 is a wasteful number, since it uses less digits than its factorization.

208772085690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 208772085690 in words is "two hundred eight billion, seven hundred seventy-two million, eighty-five thousand, six hundred ninety".