10611606105984 has 128 divisors (see below), whose sum is σ = 30387383268480. Its totient is φ = 3261660272640.

The previous prime is 10611606105967. The next prime is 10611606106033. The reversal of 10611606105984 is 48950160611601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10611606105984² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3605079 + ... + 5849769.

It is an arithmetic number, because the mean of its divisors is an integer number (237401431785).

Almost surely, 2^{10611606105984} 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 10611606105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15193691634240).

10611606105984 is an abundant number, since it is smaller than the sum of its proper divisors (19775777162496).

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

10611606105984 is a wasteful number, since it uses less digits than its factorization.

10611606105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245668 (or 2245656 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 10611606105984 in words is "ten trillion, six hundred eleven billion, six hundred six million, one hundred five thousand, nine hundred eighty-four".