60540506595360 has 288 divisors, whose sum is σ = 228091170984768. Its totient is φ = 14499660994560.

The previous prime is 60540506595307. The next prime is 60540506595377. The reversal of 60540506595360 is 6359560504506.

60540506595360 is a `hidden beast` number, since 6 + 0 + 5 + 4 + 0 + 50 + 6 + 59 + 536 + 0 = 666.

60540506595360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 60540506595297 and 60540506595306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21709387 + ... + 24338826.

It is an arithmetic number, because the mean of its divisors is an integer number (791983232586).

Almost surely, 2^{60540506595360} is an apocalyptic number.

60540506595360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

60540506595360 is an abundant number, since it is smaller than the sum of its proper divisors (167550664389408).

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

60540506595360 is a wasteful number, since it uses less digits than its factorization.

60540506595360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46048328 (or 46048317 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 60540506595360 in words is "sixty trillion, five hundred forty billion, five hundred six million, five hundred ninety-five thousand, three hundred sixty".