60487082827776 has 672 divisors, whose sum is σ = 195344202493440. Its totient is φ = 17875913932800.

The previous prime is 60487082827739. The next prime is 60487082827777. The reversal of 60487082827776 is 67772828078406.

60487082827776 is a `hidden beast` number, since 6 + 0 + 487 + 0 + 8 + 2 + 8 + 2 + 77 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60487082827777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42929085760 + ... + 42929087168.

It is an arithmetic number, because the mean of its divisors is an integer number (290690777520).

Almost surely, 2^{60487082827776} is an apocalyptic number.

60487082827776 is a gapful number since it is divisible by the number (66) 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 60487082827776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97672101246720).

60487082827776 is an abundant number, since it is smaller than the sum of its proper divisors (134857119665664).

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

60487082827776 is a wasteful number, since it uses less digits than its factorization.

60487082827776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 708083712, while the sum is 72.

The spelling of 60487082827776 in words is "sixty trillion, four hundred eighty-seven billion, eighty-two million, eight hundred twenty-seven thousand, seven hundred seventy-six".