10617877871601 has 64 divisors (see below), whose sum is σ = 19010684399616. Its totient is φ = 5090832172800.

The previous prime is 10617877871597. The next prime is 10617877871603.

10617877871601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10617877871601 - 2² = 10617877871597 is a prime.

It is a super-2 number, since 2×10617877871601² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10617877871603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23430196 + ... + 23879066.

It is an arithmetic number, because the mean of its divisors is an integer number (297041943744).

Almost surely, 2^{10617877871601} is an apocalyptic number.

10617877871601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10617877871601 is a deficient number, since it is larger than the sum of its proper divisors (8392806528015).

10617877871601 is a wasteful number, since it uses less digits than its factorization.

10617877871601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456782.

The product of its (nonzero) digits is 5531904, while the sum is 60.

The spelling of 10617877871601 in words is "ten trillion, six hundred seventeen billion, eight hundred seventy-seven million, eight hundred seventy-one thousand, six hundred one".