1055577516567 has 32 divisors (see below), whose sum is σ = 1659585123840. Its totient is φ = 584241569280.

The previous prime is 1055577516557. The next prime is 1055577516571. The reversal of 1055577516567 is 7656157755501.

It is not a de Polignac number, because 1055577516567 - 2⁴ = 1055577516551 is a prime.

It is a super-2 number, since 2×1055577516567² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055577516567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055577516557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4290358 + ... + 4529715.

It is an arithmetic number, because the mean of its divisors is an integer number (51862035120).

Almost surely, 2^{1055577516567} is an apocalyptic number.

1055577516567 is a deficient number, since it is larger than the sum of its proper divisors (604007607273).

1055577516567 is a wasteful number, since it uses less digits than its factorization.

1055577516567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8820263.

The product of its (nonzero) digits is 38587500, while the sum is 60.

The spelling of 1055577516567 in words is "one trillion, fifty-five billion, five hundred seventy-seven million, five hundred sixteen thousand, five hundred sixty-seven".