61276355367216 has 160 divisors (see below), whose sum is σ = 183150116928000. Its totient is φ = 17470093977600.

The previous prime is 61276355367209. The next prime is 61276355367229.

It is a happy number.

61276355367216 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61276355367216.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40618341 + ... + 42099908.

It is an arithmetic number, because the mean of its divisors is an integer number (1144688230800).

Almost surely, 2^{61276355367216} is an apocalyptic number.

61276355367216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61276355367216 is an abundant number, since it is smaller than the sum of its proper divisors (121873761560784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61276355367216 is a wasteful number, since it uses less digits than its factorization.

61276355367216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82718355 (or 82718349 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 60.

The spelling of 61276355367216 in words is "sixty-one trillion, two hundred seventy-six billion, three hundred fifty-five million, three hundred sixty-seven thousand, two hundred sixteen".