20973150830592 has 320 divisors, whose sum is σ = 63415169238960. Its totient is φ = 6906748207104.

The previous prime is 20973150830561. The next prime is 20973150830669. The reversal of 20973150830592 is 29503805137902.

20973150830592 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 3 + 15 + 0 + 8 + 30 + 592 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 220251663 + ... + 220346865.

Almost surely, 2^{20973150830592} 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 20973150830592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31707584619480).

20973150830592 is an abundant number, since it is smaller than the sum of its proper divisors (42442018408368).

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

20973150830592 is an frugal number, since it uses more digits than its factorization.

20973150830592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95328 (or 95291 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 20973150830592 in words is "twenty trillion, nine hundred seventy-three billion, one hundred fifty million, eight hundred thirty thousand, five hundred ninety-two".