60135610375152 has 960 divisors, whose sum is σ = 205392054067200. Its totient is φ = 16252053995520.

The previous prime is 60135610375151. The next prime is 60135610375207. The reversal of 60135610375152 is 25157301653106.

60135610375152 is a `hidden beast` number, since 6 + 0 + 1 + 3 + 561 + 0 + 3 + 75 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 60135610375098 and 60135610375107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60135610375151) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2320123249 + ... + 2320149167.

It is an arithmetic number, because the mean of its divisors is an integer number (213950056320).

Almost surely, 2^{60135610375152} 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 60135610375152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102696027033600).

60135610375152 is an abundant number, since it is smaller than the sum of its proper divisors (145256443692048).

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

60135610375152 is a wasteful number, since it uses less digits than its factorization.

60135610375152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26086 (or 26077 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 60135610375152 in words is "sixty trillion, one hundred thirty-five billion, six hundred ten million, three hundred seventy-five thousand, one hundred fifty-two".