61955927712 has 216 divisors, whose sum is σ = 217009286676. Its totient is φ = 16660353024.

The previous prime is 61955927699. The next prime is 61955927731. The reversal of 61955927712 is 21772955916.

It is a happy number.

61955927712 is a `hidden beast` number, since 6 + 1 + 9 + 559 + 2 + 77 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58891640976 + 3064286736 = 242676^2 + 55356^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110778 + ... + 369030.

Almost surely, 2^61955927712 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 61955927712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108504643338).

61955927712 is an abundant number, since it is smaller than the sum of its proper divisors (155053358964).

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

61955927712 is a wasteful number, since it uses less digits than its factorization.

61955927712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258300 (or 258282 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 54.

The spelling of 61955927712 in words is "sixty-one billion, nine hundred fifty-five million, nine hundred twenty-seven thousand, seven hundred twelve".