60738385536 has 288 divisors, whose sum is σ = 186683734380. Its totient is φ = 18951045120.

The previous prime is 60738385507. The next prime is 60738385537. The reversal of 60738385536 is 63558383706.

It is a happy number.

60738385536 is a `hidden beast` number, since 6 + 0 + 7 + 3 + 83 + 8 + 553 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 55488513600 + 5249871936 = 235560^2 + 72456^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (60738385537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80235270 + ... + 80236026.

Almost surely, 2^60738385536 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 60738385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93341867190).

60738385536 is an abundant number, since it is smaller than the sum of its proper divisors (125945348844).

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

60738385536 is a wasteful number, since it uses less digits than its factorization.

60738385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 60738385536 in words is "sixty billion, seven hundred thirty-eight million, three hundred eighty-five thousand, five hundred thirty-six".