10545532000 has 288 divisors, whose sum is σ = 28008620640. Its totient is φ = 3900441600.

The previous prime is 10545531991. The next prime is 10545532003. The reversal of 10545532000 is 23554501.

It is a super-2 number, since 2×10545532000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10545532003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96747946 + ... + 96748054.

It is an arithmetic number, because the mean of its divisors is an integer number (97252155).

Almost surely, 2^10545532000 is an apocalyptic number.

10545532000 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 10545532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004310320).

10545532000 is an abundant number, since it is smaller than the sum of its proper divisors (17463088640).

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

10545532000 is a wasteful number, since it uses less digits than its factorization.

10545532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 10545532000 in words is "ten billion, five hundred forty-five million, five hundred thirty-two thousand".