61221772672110 has 128 divisors (see below), whose sum is σ = 171968883840000. Its totient is φ = 15455906649216.

The previous prime is 61221772672063. The next prime is 61221772672111. The reversal of 61221772672110 is 1127627712216.

It is a happy number.

61221772672110 is a `hidden beast` number, since 6 + 1 + 2 + 2 + 177 + 267 + 211 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61221772672111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3347191 + ... + 11560589.

It is an arithmetic number, because the mean of its divisors is an integer number (1343506905000).

Almost surely, 2^{61221772672110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61221772672110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85984441920000).

61221772672110 is an abundant number, since it is smaller than the sum of its proper divisors (110747111167890).

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

61221772672110 is a wasteful number, since it uses less digits than its factorization.

61221772672110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214887 (or 8214881 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 61221772672110 in words is "sixty-one trillion, two hundred twenty-one billion, seven hundred seventy-two million, six hundred seventy-two thousand, one hundred ten".