207961220880 has 800 divisors, whose sum is σ = 864506953728. Its totient is φ = 45330969600.

The previous prime is 207961220851. The next prime is 207961220921. The reversal of 207961220880 is 88022169702.

207961220880 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 612 + 20 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 99836319 + ... + 99838401.

Almost surely, 2^207961220880 is an apocalyptic number.

207961220880 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 207961220880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432253476864).

207961220880 is an abundant number, since it is smaller than the sum of its proper divisors (656545732848).

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

207961220880 is a wasteful number, since it uses less digits than its factorization.

207961220880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 207961220880 in words is "two hundred seven billion, nine hundred sixty-one million, two hundred twenty thousand, eight hundred eighty".