60081955200 has 768 divisors, whose sum is σ = 227572934400. Its totient is φ = 15474032640.

The previous prime is 60081955187. The next prime is 60081955201. The reversal of 60081955200 is 255918006.

It is a happy number.

60081955200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60081955201) 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, 561513547 + ... + 561513653.

It is an arithmetic number, because the mean of its divisors is an integer number (296318925).

Almost surely, 2^60081955200 is an apocalyptic number.

60081955200 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 60081955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113786467200).

60081955200 is an abundant number, since it is smaller than the sum of its proper divisors (167490979200).

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

60081955200 is a wasteful number, since it uses less digits than its factorization.

60081955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 60081955200 in words is "sixty billion, eighty-one million, nine hundred fifty-five thousand, two hundred".