20958109164000 has 576 divisors, whose sum is σ = 75391537148928. Its totient is φ = 5513268096000.

The previous prime is 20958109163989. The next prime is 20958109164011. The reversal of 20958109164000 is 46190185902.

20958109164000 is a `hidden beast` number, since 2 + 0 + 9 + 581 + 0 + 9 + 1 + 64 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20958109163989) and next prime (20958109164011).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 975193255 + ... + 975214745.

It is an arithmetic number, because the mean of its divisors is an integer number (130888085328).

Almost surely, 2^{20958109164000} is an apocalyptic number.

20958109164000 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 20958109164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37695768574464).

20958109164000 is an abundant number, since it is smaller than the sum of its proper divisors (54433427984928).

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

20958109164000 is a wasteful number, since it uses less digits than its factorization.

20958109164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21888 (or 21867 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 20958109164000 in words is "twenty trillion, nine hundred fifty-eight billion, one hundred nine million, one hundred sixty-four thousand".