10207055780208 has 120 divisors (see below), whose sum is σ = 32658091221600. Its totient is φ = 2915255204352.

The previous prime is 10207055780203. The next prime is 10207055780219. The reversal of 10207055780208 is 80208755070201.

10207055780208 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 70 + 5 + 578 + 0 + 2 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10207055780203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 995958 + ... + 4626666.

It is an arithmetic number, because the mean of its divisors is an integer number (272150760180).

Almost surely, 2^{10207055780208} is an apocalyptic number.

10207055780208 is a gapful number since it is divisible by the number (18) 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 10207055780208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329045610800).

10207055780208 is an abundant number, since it is smaller than the sum of its proper divisors (22451035441392).

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

10207055780208 is a wasteful number, since it uses less digits than its factorization.

10207055780208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633519 (or 3633510 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 10207055780208 in words is "ten trillion, two hundred seven billion, fifty-five million, seven hundred eighty thousand, two hundred eight".