10532346000 has 640 divisors, whose sum is σ = 40223139840. Its totient is φ = 2343168000.

The previous prime is 10532345969. The next prime is 10532346079. The reversal of 10532346000 is 64323501.

It is a happy number.

It is a super-2 number, since 2×10532346000² (a number of 21 digits) contains 22 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 127 ways as a sum of consecutive naturals, for example, 46397887 + ... + 46398113.

It is an arithmetic number, because the mean of its divisors is an integer number (62848656).

Almost surely, 2^10532346000 is an apocalyptic number.

10532346000 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 10532346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20111569920).

10532346000 is an abundant number, since it is smaller than the sum of its proper divisors (29690793840).

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

10532346000 is a wasteful number, since it uses less digits than its factorization.

10532346000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 10532346000 its reverse (64323501), we get a palindrome (10596669501).

The spelling of 10532346000 in words is "ten billion, five hundred thirty-two million, three hundred forty-six thousand".