61260722706216 has 128 divisors (see below), whose sum is σ = 171027254154240. Its totient is φ = 18125021376000.

The previous prime is 61260722706179. The next prime is 61260722706229.

61260722706216 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61260722706216² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27901236 + ... + 30016668.

It is an arithmetic number, because the mean of its divisors is an integer number (1336150423080).

Almost surely, 2^{61260722706216} is an apocalyptic number.

61260722706216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61260722706216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85513627077120).

61260722706216 is an abundant number, since it is smaller than the sum of its proper divisors (109766531448024).

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

61260722706216 is a wasteful number, since it uses less digits than its factorization.

61260722706216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118047 (or 2118043 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 61260722706216 in words is "sixty-one trillion, two hundred sixty billion, seven hundred twenty-two million, seven hundred six thousand, two hundred sixteen".