10059660800 has 360 divisors, whose sum is σ = 29746540296. Its totient is φ = 3359784960.

The previous prime is 10059660799. The next prime is 10059660817. The reversal of 10059660800 is 806695001.

It is a super-2 number, since 2×10059660800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26969414 + ... + 26969786.

Almost surely, 2^10059660800 is an apocalyptic number.

10059660800 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 10059660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873270148).

10059660800 is an abundant number, since it is smaller than the sum of its proper divisors (19686879496).

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

10059660800 is an equidigital number, since it uses as much as digits as its factorization.

10059660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 10059660800 in words is "ten billion, fifty-nine million, six hundred sixty thousand, eight hundred".