10765968976900 has 36 divisors (see below), whose sum is σ = 23368267655460. Its totient is φ = 4305260406400.

The previous prime is 10765968976853. The next prime is 10765968976933. The reversal of 10765968976900 is 967986956701.

It can be written as a sum of positive squares in 6 ways, for example, as 1084997223424 + 9680971753476 = 1041632^2 + 3111426^2 .

It is a super-2 number, since 2×10765968976900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13705795 + ... + 14469994.

It is an arithmetic number, because the mean of its divisors is an integer number (649118545985).

Almost surely, 2^{10765968976900} is an apocalyptic number.

10765968976900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10765968976900 is an abundant number, since it is smaller than the sum of its proper divisors (12602298678560).

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

10765968976900 is a wasteful number, since it uses less digits than its factorization.

10765968976900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28179624 (or 28179617 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 73.

The spelling of 10765968976900 in words is "ten trillion, seven hundred sixty-five billion, nine hundred sixty-eight million, nine hundred seventy-six thousand, nine hundred".