10320558000 has 160 divisors (see below), whose sum is σ = 34173497280. Its totient is φ = 2677708800.

The previous prime is 10320557987. The next prime is 10320558013. The reversal of 10320558000 is 85502301.

It is an interprime number because it is at equal distance from previous prime (10320557987) and next prime (10320558013).

It is a super-3 number, since 3×10320558000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198756 + ... + 245244.

It is an arithmetic number, because the mean of its divisors is an integer number (213584358).

Almost surely, 2^10320558000 is an apocalyptic number.

10320558000 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 10320558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17086748640).

10320558000 is an abundant number, since it is smaller than the sum of its proper divisors (23852939280).

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

10320558000 is a wasteful number, since it uses less digits than its factorization.

10320558000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46552 (or 46536 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 10320558000 in words is "ten billion, three hundred twenty million, five hundred fifty-eight thousand".