10775209116672 has 1408 divisors, whose sum is σ = 43169127321600. Its totient is φ = 2563964928000.

The previous prime is 10775209116649. The next prime is 10775209116673. The reversal of 10775209116672 is 27661190257701.

10775209116672 is a `hidden beast` number, since 10 + 7 + 7 + 520 + 91 + 16 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×10775209116672² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10775209116673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3846913672 + ... + 3846916472.

Almost surely, 2^{10775209116672} is an apocalyptic number.

10775209116672 is a gapful number since it is divisible by the number (12) 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 10775209116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21584563660800).

10775209116672 is an abundant number, since it is smaller than the sum of its proper divisors (32393918204928).

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

10775209116672 is a wasteful number, since it uses less digits than its factorization.

10775209116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 10775209116672 in words is "ten trillion, seven hundred seventy-five billion, two hundred nine million, one hundred sixteen thousand, six hundred seventy-two".