20874889728 has 480 divisors, whose sum is σ = 77930012160. Its totient is φ = 5419560960.

The previous prime is 20874889699. The next prime is 20874889793. The reversal of 20874889728 is 82798847802.

20874889728 is a `hidden beast` number, since 2 + 0 + 87 + 488 + 9 + 72 + 8 = 666.

It is a super-2 number, since 2×20874889728² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9578943 + ... + 9581121.

It is an arithmetic number, because the mean of its divisors is an integer number (162354192).

Almost surely, 2^20874889728 is an apocalyptic number.

20874889728 is a gapful number since it is divisible by the number (28) 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 20874889728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38965006080).

20874889728 is an abundant number, since it is smaller than the sum of its proper divisors (57055122432).

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

20874889728 is an equidigital number, since it uses as much as digits as its factorization.

20874889728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 20874889728 in words is "twenty billion, eight hundred seventy-four million, eight hundred eighty-nine thousand, seven hundred twenty-eight".