10765712217620 has 24 divisors (see below), whose sum is σ = 23387581715400. Its totient is φ = 4157792304512.

The previous prime is 10765712217593. The next prime is 10765712217679. The reversal of 10765712217620 is 2671221756701.

10765712217620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 912353549584 + 9853358668036 = 955172^2 + 3139006^2 .

It is a super-2 number, since 2×10765712217620² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9280785815 + ... + 9280786974.

It is an arithmetic number, because the mean of its divisors is an integer number (974482571475).

Almost surely, 2^{10765712217620} is an apocalyptic number.

10765712217620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10765712217620 is an abundant number, since it is smaller than the sum of its proper divisors (12621869497780).

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

10765712217620 is a wasteful number, since it uses less digits than its factorization.

10765712217620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18561572827 (or 18561572825 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 47.

The spelling of 10765712217620 in words is "ten trillion, seven hundred sixty-five billion, seven hundred twelve million, two hundred seventeen thousand, six hundred twenty".