10059645960 has 896 divisors, whose sum is σ = 44422318080. Its totient is φ = 1988665344.

The previous prime is 10059645949. The next prime is 10059646013. The reversal of 10059645960 is 6954695001.

It is a happy number.

10059645960 is a `hidden beast` number, since 1 + 0 + 0 + 59 + 6 + 4 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 45110409 + ... + 45110631.

It is an arithmetic number, because the mean of its divisors is an integer number (49578480).

Almost surely, 2^10059645960 is an apocalyptic number.

10059645960 is a gapful number since it is divisible by the number (10) 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 10059645960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22211159040).

10059645960 is an abundant number, since it is smaller than the sum of its proper divisors (34362672120).

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

10059645960 is a wasteful number, since it uses less digits than its factorization.

10059645960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 10059645960 in words is "ten billion, fifty-nine million, six hundred forty-five thousand, nine hundred sixty".