60975951864100 has 243 divisors, whose sum is σ = 166690979018361. Its totient is φ = 19295634758400.

The previous prime is 60975951864067. The next prime is 60975951864103. The reversal of 60975951864100 is 146815957906.

The square root of 60975951864100 is 7808710.

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

60975951864100 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 46066653966564 + 14909297897536 = 6787242^2 + 3861256^2 .

It is not an unprimeable number, because it can be changed into a prime (60975951864103) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 7105921810 + ... + 7105930390.

Almost surely, 2^{60975951864100} is an apocalyptic number.

60975951864100 is the 7808710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60975951864100

60975951864100 is an abundant number, since it is smaller than the sum of its proper divisors (105715027154261).

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

60975951864100 is an equidigital number, since it uses as much as digits as its factorization.

60975951864100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17216 (or 8608 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 60975951864100 in words is "sixty trillion, nine hundred seventy-five billion, nine hundred fifty-one million, eight hundred sixty-four thousand, one hundred".