10775147632704 has 1323 divisors, whose sum is σ = 40624783587837. Its totient is φ = 2824780428288.

The previous prime is 10775147632597. The next prime is 10775147632829. The reversal of 10775147632704 is 40723674157701.

The square root of 10775147632704 is 3282552.

It is a perfect power (a square), and thus also a powerful number.

10775147632704 is a `hidden beast` number, since 1 + 0 + 7 + 75 + 1 + 476 + 32 + 70 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1593956750400 + 9181190882304 = 1262520^2 + 3030048^2 .

It is a tau number, because it is divible by the number of its divisors (1323).

It is a super-2 number, since 2×10775147632704² (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 an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 64521842029 + ... + 64521842195.

Almost surely, 2^{10775147632704} is an apocalyptic number.

10775147632704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10775147632704 is the 3282552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10775147632704

10775147632704 is an abundant number, since it is smaller than the sum of its proper divisors (29849635955133).

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

10775147632704 is an frugal number, since it uses more digits than its factorization.

10775147632704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 10775147632704 in words is "ten trillion, seven hundred seventy-five billion, one hundred forty-seven million, six hundred thirty-two thousand, seven hundred four".