10990171584 has 672 divisors, whose sum is σ = 40028774400. Its totient is φ = 2943682560.

The previous prime is 10990171583. The next prime is 10990171597. The reversal of 10990171584 is 48517109901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10990171584² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10990171583) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139116057 + ... + 139116135.

Almost surely, 2^10990171584 is an apocalyptic number.

10990171584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10990171584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014387200).

10990171584 is an abundant number, since it is smaller than the sum of its proper divisors (29038602816).

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

10990171584 is a wasteful number, since it uses less digits than its factorization.

10990171584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 10990171584 in words is "ten billion, nine hundred ninety million, one hundred seventy-one thousand, five hundred eighty-four".