60805138931712 has 1764 divisors, whose sum is σ = 225610506634320. Its totient is φ = 16328220475392.

The previous prime is 60805138931699. The next prime is 60805138931723. The reversal of 60805138931712 is 21713983150806.

60805138931712 is a `hidden beast` number, since 6 + 0 + 8 + 0 + 513 + 89 + 31 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1764).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 125 ways as a sum of consecutive naturals, for example, 84569038489 + ... + 84569039207.

Almost surely, 2^{60805138931712} 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 60805138931712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112805253317160).

60805138931712 is an abundant number, since it is smaller than the sum of its proper divisors (164805367702608).

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

60805138931712 is an frugal number, since it uses more digits than its factorization.

60805138931712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 60805138931712 in words is "sixty trillion, eight hundred five billion, one hundred thirty-eight million, nine hundred thirty-one thousand, seven hundred twelve".