20858764546872 has 384 divisors, whose sum is σ = 69674054860800. Its totient is φ = 5501385437184.

The previous prime is 20858764546813. The next prime is 20858764546897. The reversal of 20858764546872 is 27864546785802.

20858764546872 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 8 + 7 + 6 + 4 + 546 + 8 + 72 = 666.

It is a super-3 number, since 3×20858764546872³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 20858764546872.

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, 1801424779 + ... + 1801436357.

It is an arithmetic number, because the mean of its divisors is an integer number (181442851200).

Almost surely, 2^{20858764546872} 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 20858764546872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34837027430400).

20858764546872 is an abundant number, since it is smaller than the sum of its proper divisors (48815290313928).

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

20858764546872 is a wasteful number, since it uses less digits than its factorization.

20858764546872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15635 (or 15628 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 72.

The spelling of 20858764546872 in words is "twenty trillion, eight hundred fifty-eight billion, seven hundred sixty-four million, five hundred forty-six thousand, eight hundred seventy-two".