10120688777809 has 9 divisors (see below), whose sum is σ = 10681455551067. Its totient is φ = 9587963683944.

The previous prime is 10120688777789. The next prime is 10120688777831. The reversal of 10120688777809 is 90877788602101.

The square root of 10120688777809 is 3181303.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9501590476225 + 619098301584 = 3082465^2 + 786828^2 .

It is not a de Polignac number, because 10120688777809 - 2⁵ = 10120688777777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120688777879) 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 8 ways as a sum of consecutive naturals, for example, 60361039 + ... + 60528475.

It is an arithmetic number, because the mean of its divisors is an integer number (1186828394563).

Almost surely, 2^{10120688777809} is an apocalyptic number.

10120688777809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10120688777809 is the 3181303-rd square number.

10120688777809 is the 1590652-nd centered octagonal number.

It is an amenable number.

10120688777809 is a deficient number, since it is larger than the sum of its proper divisors (560766773258).

10120688777809 is an frugal number, since it uses more digits than its factorization.

10120688777809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334912 (or 167456 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 64.

Multiplying 10120688777809 by its sum of digits (64), we get a square (647724081779776 = 25450424²).

The spelling of 10120688777809 in words is "ten trillion, one hundred twenty billion, six hundred eighty-eight million, seven hundred seventy-seven thousand, eight hundred nine".