10621255460928 has 224 divisors, whose sum is σ = 33829039011840. Its totient is φ = 2873052426240.

The previous prime is 10621255460897. The next prime is 10621255460929. The reversal of 10621255460928 is 82906455212601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10621255460928² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10621255460929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39267268 + ... + 39536828.

Almost surely, 2^{10621255460928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10621255460928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16914519505920).

10621255460928 is an abundant number, since it is smaller than the sum of its proper divisors (23207783550912).

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

10621255460928 is a wasteful number, since it uses less digits than its factorization.

10621255460928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271145 (or 271135 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 10621255460928 in words is "ten trillion, six hundred twenty-one billion, two hundred fifty-five million, four hundred sixty thousand, nine hundred twenty-eight".