10059517776 has 160 divisors (see below), whose sum is σ = 34104960000. Its totient is φ = 2475325440.

The previous prime is 10059517703. The next prime is 10059517777. The reversal of 10059517776 is 67771595001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10059517777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401 + ... + 141848.

It is an arithmetic number, because the mean of its divisors is an integer number (213156000).

Almost surely, 2^10059517776 is an apocalyptic number.

10059517776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10059517776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17052480000).

10059517776 is an abundant number, since it is smaller than the sum of its proper divisors (24045442224).

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

10059517776 is a wasteful number, since it uses less digits than its factorization.

10059517776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143297 (or 143291 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 48.

The spelling of 10059517776 in words is "ten billion, fifty-nine million, five hundred seventeen thousand, seven hundred seventy-six".