60609558240 has 1296 divisors, whose sum is σ = 274182330240. Its totient is φ = 12134707200.

The previous prime is 60609558211. The next prime is 60609558259. The reversal of 60609558240 is 4285590606.

60609558240 is a `hidden beast` number, since 6 + 0 + 60 + 9 + 5 + 582 + 4 + 0 = 666.

60609558240 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 264670446 + ... + 264670674.

It is an arithmetic number, because the mean of its divisors is an integer number (211560440).

Almost surely, 2^60609558240 is an apocalyptic number.

60609558240 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 60609558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137091165120).

60609558240 is an abundant number, since it is smaller than the sum of its proper divisors (213572772000).

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

60609558240 is a wasteful number, since it uses less digits than its factorization.

60609558240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 60609558240 in words is "sixty billion, six hundred nine million, five hundred fifty-eight thousand, two hundred forty".