10579968000 has 768 divisors, whose sum is σ = 44656073280. Its totient is φ = 2359296000.

The previous prime is 10579967989. The next prime is 10579968001. The reversal of 10579968000 is 86997501.

10579968000 is a `hidden beast` number, since 10 + 579 + 9 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×10579968000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10579968001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258047980 + ... + 258048020.

Almost surely, 2^10579968000 is an apocalyptic number.

10579968000 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 10579968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22328036640).

10579968000 is an abundant number, since it is smaller than the sum of its proper divisors (34076105280).

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

10579968000 is an frugal number, since it uses more digits than its factorization.

10579968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 10579968000 in words is "ten billion, five hundred seventy-nine million, nine hundred sixty-eight thousand".