10059287616 has 315 divisors, whose sum is σ = 34862452119. Its totient is φ = 2859639552.

The previous prime is 10059287561. The next prime is 10059287663. The reversal of 10059287616 is 61678295001.

The square root of 10059287616 is 100296.

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

10059287616 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 9 + 28 + 7 + 616 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50549085 + ... + 50549283.

Almost surely, 2^10059287616 is an apocalyptic number.

10059287616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10059287616 is the 100296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10059287616

10059287616 is an abundant number, since it is smaller than the sum of its proper divisors (24803164503).

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

10059287616 is an frugal number, since it uses more digits than its factorization.

10059287616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10059287616 in words is "ten billion, fifty-nine million, two hundred eighty-seven thousand, six hundred sixteen".