10289172515456 has 16 divisors (see below), whose sum is σ = 20497960870890. Its totient is φ = 5144586257664.

The previous prime is 10289172515449. The next prime is 10289172515459. The reversal of 10289172515456 is 65451527198201.

It can be written as a sum of positive squares in only one way, i.e., 6090115809856 + 4199056705600 = 2467816^2 + 2049160^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×10289172515456³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10289172515459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40192080011 + ... + 40192080266.

Almost surely, 2^{10289172515456} is an apocalyptic number.

10289172515456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10289172515456 is a deficient number, since it is larger than the sum of its proper divisors (10208788355434).

10289172515456 is an frugal number, since it uses more digits than its factorization.

10289172515456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80384160291 (or 80384160279 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 56.

The spelling of 10289172515456 in words is "ten trillion, two hundred eighty-nine billion, one hundred seventy-two million, five hundred fifteen thousand, four hundred fifty-six".