61210166101216 has 192 divisors, whose sum is σ = 138909391036416. Its totient is φ = 26289650419200.

The previous prime is 61210166101199. The next prime is 61210166101219.

61210166101216 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61210166101219) 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, 1390264995 + ... + 1390309021.

It is an arithmetic number, because the mean of its divisors is an integer number (723486411648).

Almost surely, 2^{61210166101216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61210166101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69454695518208).

61210166101216 is an abundant number, since it is smaller than the sum of its proper divisors (77699224935200).

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

61210166101216 is a wasteful number, since it uses less digits than its factorization.

61210166101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47085 (or 47077 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 61210166101216 in words is "sixty-one trillion, two hundred ten billion, one hundred sixty-six million, one hundred one thousand, two hundred sixteen".