10207765600780 has 96 divisors (see below), whose sum is σ = 23580740232000. Its totient is φ = 3711535027200.

The previous prime is 10207765600777. The next prime is 10207765600783. The reversal of 10207765600780 is 8700656770201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10207765600777) and next prime (10207765600783).

It is not an unprimeable number, because it can be changed into a prime (10207765600783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491953846 + ... + 491974594.

It is an arithmetic number, because the mean of its divisors is an integer number (245632710750).

Almost surely, 2^{10207765600780} is an apocalyptic number.

10207765600780 is a gapful number since it is divisible by the number (10) 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 10207765600780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790370116000).

10207765600780 is an abundant number, since it is smaller than the sum of its proper divisors (13372974631220).

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

10207765600780 is a wasteful number, since it uses less digits than its factorization.

10207765600780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39272 (or 39248 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 10207765600780 in words is "ten trillion, two hundred seven billion, seven hundred sixty-five million, six hundred thousand, seven hundred eighty".