60254729561664 has 637 divisors, whose sum is σ = 197287031439499. Its totient is φ = 18259008958080.

The previous prime is 60254729561657. The next prime is 60254729561723. The reversal of 60254729561664 is 46616592745206.

It is a happy number.

The square root of 60254729561664 is 7762392.

The cubic root of 60254729561664 is 39204.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

60254729561664 is a `hidden beast` number, since 6 + 0 + 2 + 5 + 4 + 7 + 2 + 9 + 5 + 616 + 6 + 4 = 666.

It is a Duffinian 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 90 ways as a sum of consecutive naturals, for example, 5477702687419 + ... + 5477702687429.

Almost surely, 2^{60254729561664} is an apocalyptic number.

60254729561664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

60254729561664 is the 7762392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60254729561664

60254729561664 is an abundant number, since it is smaller than the sum of its proper divisors (137032301877835).

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

60254729561664 is an frugal number, since it uses more digits than its factorization.

60254729561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 60254729561664 in words is "sixty trillion, two hundred fifty-four billion, seven hundred twenty-nine million, five hundred sixty-one thousand, six hundred sixty-four".