10577680761125 has 8 divisors (see below), whose sum is σ = 13200945590040. Its totient is φ = 8462144608800.

The previous prime is 10577680761119. The next prime is 10577680761127. The reversal of 10577680761125 is 52116708677501.

It can be written as a sum of positive squares in 4 ways, for example, as 302110725316 + 10275570035809 = 549646^2 + 3205553^2 .

It is not a de Polignac number, because 10577680761125 - 2⁸ = 10577680760869 is a prime.

It is a super-2 number, since 2×10577680761125² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10577680761127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42310722920 + ... + 42310723169.

It is an arithmetic number, because the mean of its divisors is an integer number (1650118198755).

Almost surely, 2^{10577680761125} is an apocalyptic number.

It is an amenable number.

10577680761125 is a deficient number, since it is larger than the sum of its proper divisors (2623264828915).

10577680761125 is an frugal number, since it uses more digits than its factorization.

10577680761125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84621446104 (or 84621446094 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 56.

The spelling of 10577680761125 in words is "ten trillion, five hundred seventy-seven billion, six hundred eighty million, seven hundred sixty-one thousand, one hundred twenty-five".