5735543226067 has 16 divisors (see below), whose sum is σ = 6283414490400. Its totient is φ = 5211123043840.

The previous prime is 5735543226013. The next prime is 5735543226121. The reversal of 5735543226067 is 7606223455375.

It is an interprime number because it is at equal distance from previous prime (5735543226013) and next prime (5735543226121).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5735543226067 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5735543225999 and 5735543226017.

It is not an unprimeable number, because it can be changed into a prime (5735543226167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1896984 + ... + 3881962.

It is an arithmetic number, because the mean of its divisors is an integer number (392713405650).

Almost surely, 2^{5735543226067} is an apocalyptic number.

5735543226067 is a deficient number, since it is larger than the sum of its proper divisors (547871264333).

5735543226067 is a wasteful number, since it uses less digits than its factorization.

5735543226067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990886.

The product of its (nonzero) digits is 31752000, while the sum is 55.

The spelling of 5735543226067 in words is "five trillion, seven hundred thirty-five billion, five hundred forty-three million, two hundred twenty-six thousand, sixty-seven".