10621264000 has 128 divisors (see below), whose sum is σ = 26620139520. Its totient is φ = 4214246400.

The previous prime is 10621263953. The next prime is 10621264013. The reversal of 10621264000 is 46212601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10621264000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2029387 + ... + 2034613.

It is an arithmetic number, because the mean of its divisors is an integer number (207969840).

Almost surely, 2^10621264000 is an apocalyptic number.

10621264000 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 10621264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310069760).

10621264000 is an abundant number, since it is smaller than the sum of its proper divisors (15998875520).

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

10621264000 is an equidigital number, since it uses as much as digits as its factorization.

10621264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10621264000 its reverse (46212601), we get a palindrome (10667476601).

The spelling of 10621264000 in words is "ten billion, six hundred twenty-one million, two hundred sixty-four thousand".