5765769800601 has 32 divisors (see below), whose sum is σ = 7746217920000. Its totient is φ = 3814710915840.

The previous prime is 5765769800509. The next prime is 5765769800617. The reversal of 5765769800601 is 1060089675675.

It is not a de Polignac number, because 5765769800601 - 2¹⁸ = 5765769538457 is a prime.

It is a super-2 number, since 2×5765769800601² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5765769800641) 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 31 ways as a sum of consecutive naturals, for example, 299370910 + ... + 299390168.

It is an arithmetic number, because the mean of its divisors is an integer number (242069310000).

Almost surely, 2^{5765769800601} is an apocalyptic number.

It is an amenable number.

5765769800601 is a deficient number, since it is larger than the sum of its proper divisors (1980448119399).

5765769800601 is a wasteful number, since it uses less digits than its factorization.

5765769800601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20869.

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 5765769800601 in words is "five trillion, seven hundred sixty-five billion, seven hundred sixty-nine million, eight hundred thousand, six hundred one".