10175053706896 has 45 divisors (see below), whose sum is σ = 21347640785289. Its totient is φ = 4696102077888.

The previous prime is 10175053706891. The next prime is 10175053706929. The reversal of 10175053706896 is 69860735057101.

It is a happy number.

The square root of 10175053706896 is 3189836.

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

It can be written as a sum of positive squares in only one way, i.e., 1505185459600 + 8669868247296 = 1226860^2 + 2944464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10175053706896.

It is not an unprimeable number, because it can be changed into a prime (10175053706891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 165840801 + ... + 165902143.

Almost surely, 2^{10175053706896} is an apocalyptic number.

10175053706896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10175053706896 is the 3189836-th square number.

It is an amenable number.

10175053706896 is an abundant number, since it is smaller than the sum of its proper divisors (11172587078393).

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

10175053706896 is an frugal number, since it uses more digits than its factorization.

10175053706896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122720 (or 61358 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 10175053706896 in words is "ten trillion, one hundred seventy-five billion, fifty-three million, seven hundred six thousand, eight hundred ninety-six".