60959610000 has 225 divisors, whose sum is σ = 213443909679. Its totient is φ = 16236144000.

The previous prime is 60959609989. The next prime is 60959610017. The reversal of 60959610000 is 1695906.

The square root of 60959610000 is 246900.

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

60959610000 is a `hidden beast` number, since 60 + 9 + 596 + 1 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4779233424 + 56180376576 = 69132^2 + 237024^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 74069589 + ... + 74070411.

Almost surely, 2^60959610000 is an apocalyptic number.

60959610000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

60959610000 is the 246900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60959610000

60959610000 is an abundant number, since it is smaller than the sum of its proper divisors (152484299679).

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

60959610000 is an frugal number, since it uses more digits than its factorization.

60959610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

Multiplying 60959610000 by its sum of digits (36), we get a square (2194545960000 = 1481400²).

60959610000 divided by its sum of digits (36) gives a square (1693322500 = 41150²).

The spelling of 60959610000 in words is "sixty billion, nine hundred fifty-nine million, six hundred ten thousand".