10775268000 has 480 divisors, whose sum is σ = 45208171008. Its totient is φ = 2462400000.

The previous prime is 10775267969. The next prime is 10775268013. The reversal of 10775268000 is 86257701.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10775268000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2265625 + ... + 2270375.

Almost surely, 2^10775268000 is an apocalyptic number.

10775268000 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 10775268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22604085504).

10775268000 is an abundant number, since it is smaller than the sum of its proper divisors (34432903008).

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

10775268000 is an equidigital number, since it uses as much as digits as its factorization.

10775268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4795 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10775268000 in words is "ten billion, seven hundred seventy-five million, two hundred sixty-eight thousand".