10573500000 has 672 divisors, whose sum is σ = 42524455680. Its totient is φ = 2246400000.

The previous prime is 10573499977. The next prime is 10573500023. The reversal of 10573500000 is 537501.

It is a happy number.

10573500000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10573499977) and next prime (10573500023).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10573500000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10573500000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 199499974 + ... + 199500026.

It is an arithmetic number, because the mean of its divisors is an integer number (63280440).

Almost surely, 2^10573500000 is an apocalyptic number.

10573500000 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 10573500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21262227840).

10573500000 is an abundant number, since it is smaller than the sum of its proper divisors (31950955680).

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

10573500000 is an frugal number, since it uses more digits than its factorization.

10573500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The spelling of 10573500000 in words is "ten billion, five hundred seventy-three million, five hundred thousand".