10088672055289 has 9 divisors (see below), whose sum is σ = 10153842301551. Its totient is φ = 10023917499960.

The previous prime is 10088672055223. The next prime is 10088672055313. The reversal of 10088672055289 is 98255027688001.

The square root of 10088672055289 is 3176267.

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., 2957144533225 + 7131527522064 = 1719635^2 + 2670492^2 .

It is not a de Polignac number, because 10088672055289 - 2²³ = 10088663666681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10088672055389) 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, 498663804 + ... + 498684034.

Almost surely, 2^{10088672055289} is an apocalyptic number.

10088672055289 is the 3176267-th square number.

10088672055289 is the 1588134-th centered octagonal number.

It is an amenable number.

10088672055289 is a deficient number, since it is larger than the sum of its proper divisors (65170246262).

10088672055289 is an frugal number, since it uses more digits than its factorization.

10088672055289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40776 (or 20388 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 61.

The spelling of 10088672055289 in words is "ten trillion, eighty-eight billion, six hundred seventy-two million, fifty-five thousand, two hundred eighty-nine".