20576961171000 has 1024 divisors, whose sum is σ = 79721968435200. Its totient is φ = 4875552000000.

The previous prime is 20576961170911. The next prime is 20576961171071. The reversal of 20576961171000 is 17116967502.

20576961171000 is a `hidden beast` number, since 2 + 0 + 576 + 9 + 6 + 1 + 1 + 71 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×20576961171000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 2078266050 + ... + 2078275950.

It is an arithmetic number, because the mean of its divisors is an integer number (77853484800).

Almost surely, 2^{20576961171000} is an apocalyptic number.

20576961171000 is a gapful number since it is divisible by the number (20) 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 20576961171000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39860984217600).

20576961171000 is an abundant number, since it is smaller than the sum of its proper divisors (59145007264200).

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

20576961171000 is a wasteful number, since it uses less digits than its factorization.

20576961171000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10166 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 20576961171000 in words is "twenty trillion, five hundred seventy-six billion, nine hundred sixty-one million, one hundred seventy-one thousand".