10652710000 has 200 divisors, whose sum is σ = 27528488064. Its totient is φ = 3978240000.

The previous prime is 10652709961. The next prime is 10652710001. The reversal of 10652710000 is 1725601.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×10652710000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10652710001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37909860 + ... + 37910140.

Almost surely, 2^10652710000 is an apocalyptic number.

10652710000 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 10652710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764244032).

10652710000 is an abundant number, since it is smaller than the sum of its proper divisors (16875778064).

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

10652710000 is a wasteful number, since it uses less digits than its factorization.

10652710000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The spelling of 10652710000 in words is "ten billion, six hundred fifty-two million, seven hundred ten thousand".