10579098043200 has 336 divisors, whose sum is σ = 35887209611264. Its totient is φ = 2725568870400.

The previous prime is 10579098043183. The next prime is 10579098043253. The reversal of 10579098043200 is 234089097501.

It is a super-2 number, since 2×10579098043200² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10579098043200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90263037 + ... + 90380163.

Almost surely, 2^{10579098043200} is an apocalyptic number.

10579098043200 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 10579098043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943604805632).

10579098043200 is an abundant number, since it is smaller than the sum of its proper divisors (25308111568064).

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

10579098043200 is a wasteful number, since it uses less digits than its factorization.

10579098043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117790 (or 117775 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 10579098043200 in words is "ten trillion, five hundred seventy-nine billion, ninety-eight million, forty-three thousand, two hundred".