60518952000 has 1344 divisors, whose sum is σ = 254424119040. Its totient is φ = 13602816000.

The previous prime is 60518951993. The next prime is 60518952017. The reversal of 60518952000 is 25981506.

It is a happy number.

60518952000 is a `hidden beast` number, since 6 + 0 + 51 + 89 + 520 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 729143959 + ... + 729144041.

It is an arithmetic number, because the mean of its divisors is an integer number (189303660).

Almost surely, 2^60518952000 is an apocalyptic number.

60518952000 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 60518952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127212059520).

60518952000 is an abundant number, since it is smaller than the sum of its proper divisors (193905167040).

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

60518952000 is a wasteful number, since it uses less digits than its factorization.

60518952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

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

Adding to 60518952000 its sum of digits (36), we get a square (60518952036 = 246006²).

The spelling of 60518952000 in words is "sixty billion, five hundred eighteen million, nine hundred fifty-two thousand".