60386976000000 has 1512 divisors, whose sum is σ = 236641102400430. Its totient is φ = 14747443200000.

The previous prime is 60386975999891. The next prime is 60386976000007. The reversal of 60386976000000 is 67968306.

60386976000000 is a `hidden beast` number, since 6 + 0 + 38 + 6 + 9 + 7 + 600 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 43505527440384 + 16881448559616 = 6595872^2 + 4108704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 60386976000000.

It is not an unprimeable number, because it can be changed into a prime (60386976000007) 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 125 ways as a sum of consecutive naturals, for example, 475487999937 + ... + 475488000063.

Almost surely, 2^{60386976000000} is an apocalyptic number.

60386976000000 is a gapful number since it is divisible by the number (60) 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 60386976000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118320551200215).

60386976000000 is an abundant number, since it is smaller than the sum of its proper divisors (176254126400430).

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

60386976000000 is an frugal number, since it uses more digits than its factorization.

60386976000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 60386976000000 in words is "sixty trillion, three hundred eighty-six billion, nine hundred seventy-six million", and thus it is an aban number.