10584940211608 has 144 divisors (see below), whose sum is σ = 23747318910000. Its totient is φ = 4410032102784.

The previous prime is 10584940211579. The next prime is 10584940211689. The reversal of 10584940211608 is 80611204948501.

It is a super-2 number, since 2×10584940211608² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128982253 + ... + 129064291.

It is an arithmetic number, because the mean of its divisors is an integer number (164911936875).

Almost surely, 2^{10584940211608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10584940211608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11873659455000).

10584940211608 is an abundant number, since it is smaller than the sum of its proper divisors (13162378698392).

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

10584940211608 is a wasteful number, since it uses less digits than its factorization.

10584940211608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82302 (or 82244 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 10584940211608 in words is "ten trillion, five hundred eighty-four billion, nine hundred forty million, two hundred eleven thousand, six hundred eight".