20611163990592 has 1344 divisors, whose sum is σ = 76004635392000. Its totient is φ = 5444419276800.

The previous prime is 20611163990551. The next prime is 20611163990713. The reversal of 20611163990592 is 29509936111602.

20611163990592 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 1 + 16 + 39 + 9 + 0 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13640743117 + ... + 13640744627.

It is an arithmetic number, because the mean of its divisors is an integer number (56551068000).

Almost surely, 2^{20611163990592} 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 20611163990592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38002317696000).

20611163990592 is an abundant number, since it is smaller than the sum of its proper divisors (55393471401408).

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

20611163990592 is a wasteful number, since it uses less digits than its factorization.

20611163990592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 20611163990592 in words is "twenty trillion, six hundred eleven billion, one hundred sixty-three million, nine hundred ninety thousand, five hundred ninety-two".