61060011012 has 288 divisors, whose sum is σ = 207559183104. Its totient is φ = 14616806400.

The previous prime is 61060010959. The next prime is 61060011013. The reversal of 61060011012 is 21011006016.

61060011012 is a `hidden beast` number, since 61 + 0 + 600 + 1 + 1 + 0 + 1 + 2 = 666.

61060011012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61060011012² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (61060011013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38233398 + ... + 38234994.

It is an arithmetic number, because the mean of its divisors is an integer number (720691608).

Almost surely, 2^61060011012 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 61060011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103779591552).

61060011012 is an abundant number, since it is smaller than the sum of its proper divisors (146499172092).

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

61060011012 is a wasteful number, since it uses less digits than its factorization.

61060011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 61060011012 its reverse (21011006016), we get a palindrome (82071017028).

The spelling of 61060011012 in words is "sixty-one billion, sixty million, eleven thousand, twelve".