61060147200 has 432 divisors, whose sum is σ = 235522074060. Its totient is φ = 15028715520.

The previous prime is 61060147151. The next prime is 61060147271. The reversal of 61060147200 is 274106016.

61060147200 is a `hidden beast` number, since 6 + 10 + 601 + 47 + 2 + 0 + 0 = 666.

61060147200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 17221837824 + 43838309376 = 131232^2 + 209376^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5985304 + ... + 5995496.

Almost surely, 2^61060147200 is an apocalyptic number.

61060147200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61060147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117761037030).

61060147200 is an abundant number, since it is smaller than the sum of its proper divisors (174461926860).

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

61060147200 is a wasteful number, since it uses less digits than its factorization.

61060147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10244 (or 10216 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 61060147200 in words is "sixty-one billion, sixty million, one hundred forty-seven thousand, two hundred".