61672588527616 has 192 divisors, whose sum is σ = 135974705106240. Its totient is φ = 27731275284480.

The previous prime is 61672588527593. The next prime is 61672588527617.

61672588527616 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (61672588527617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6068339751 + ... + 6068349913.

It is an arithmetic number, because the mean of its divisors is an integer number (708201589095).

Almost surely, 2^{61672588527616} 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 61672588527616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67987352553120).

61672588527616 is an abundant number, since it is smaller than the sum of its proper divisors (74302116578624).

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

61672588527616 is a wasteful number, since it uses less digits than its factorization.

61672588527616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13070 (or 13050 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 70.

The spelling of 61672588527616 in words is "sixty-one trillion, six hundred seventy-two billion, five hundred eighty-eight million, five hundred twenty-seven thousand, six hundred sixteen".