60493706172900 has 3645 divisors, whose sum is σ = 270590797801233. Its totient is φ = 11289588710400.

The previous prime is 60493706172869. The next prime is 60493706172923. The reversal of 60493706172900 is 927160739406.

It is a happy number.

The square root of 60493706172900 is 7777770.

It is a perfect power (a square), and thus also a powerful number.

60493706172900 is a `hidden beast` number, since 6 + 0 + 493 + 7 + 0 + 61 + 7 + 2 + 90 + 0 = 666.

60493706172900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 34910584956324 + 25583121216576 = 5908518^2 + 5057976^2 .

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 1214 ways as a sum of consecutive naturals, for example, 1634965031682 + ... + 1634965031718.

Almost surely, 2^{60493706172900} is an apocalyptic number.

60493706172900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

60493706172900 is the 7777770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60493706172900

60493706172900 is an abundant number, since it is smaller than the sum of its proper divisors (210097091628333).

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

60493706172900 is a wasteful number, since it uses less digits than its factorization.

60493706172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

It can be divided in two parts, 60493706 and 172900, that added together give a palindrome (60666606).

The spelling of 60493706172900 in words is "sixty trillion, four hundred ninety-three billion, seven hundred six million, one hundred seventy-two thousand, nine hundred".