10988886872601 has 243 divisors, whose sum is σ = 19623560257119. Its totient is φ = 5919172934400.

The previous prime is 10988886872581. The next prime is 10988886872609. The reversal of 10988886872601 is 10627868888901.

The square root of 10988886872601 is 3314949.

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

10988886872601 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 8 + 8 + 8 + 6 + 8 + 7 + 2 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8555361752025 + 2433525120576 = 2924955^2 + 1559976^2 .

It is not a de Polignac number, because 10988886872601 - 2³⁷ = 10851447919129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10988886872601.

It is not an unprimeable number, because it can be changed into a prime (10988886872609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 35334041236 + ... + 35334041546.

Almost surely, 2^{10988886872601} is an apocalyptic number.

10988886872601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10988886872601 is the 3314949-th square number.

10988886872601 is the 1657475-th centered octagonal number.

It is an amenable number.

10988886872601 is a deficient number, since it is larger than the sum of its proper divisors (8634673384518).

10988886872601 is a wasteful number, since it uses less digits than its factorization.

10988886872601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 72.

The spelling of 10988886872601 in words is "ten trillion, nine hundred eighty-eight billion, eight hundred eighty-six million, eight hundred seventy-two thousand, six hundred one".