76955288255967 has 16 divisors (see below), whose sum is σ = 111949769352960. Its totient is φ = 46633400049600.

The previous prime is 76955288255933. The next prime is 76955288255969.

76955288255967 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76955288255967 - 2²⁰ = 76955287207391 is a prime.

It is a super-2 number, since 2×76955288255967² (a number of 29 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 76955288255967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76955288255969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153961467 + ... + 154460492.

It is an arithmetic number, because the mean of its divisors is an integer number (6996860584560).

Almost surely, 2^{76955288255967} is an apocalyptic number.

76955288255967 is a deficient number, since it is larger than the sum of its proper divisors (34994481096993).

76955288255967 is a wasteful number, since it uses less digits than its factorization.

76955288255967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308429534.

The product of its digits is 22861440000, while the sum is 84.

The spelling of 76955288255967 in words is "seventy-six trillion, nine hundred fifty-five billion, two hundred eighty-eight million, two hundred fifty-five thousand, nine hundred sixty-seven".