20828187744 has 288 divisors, whose sum is σ = 70708571136. Its totient is φ = 5315466240.

The previous prime is 20828187707. The next prime is 20828187767. The reversal of 20828187744 is 44778182802.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1890219 + ... + 1901205.

It is an arithmetic number, because the mean of its divisors is an integer number (245515872).

Almost surely, 2^20828187744 is an apocalyptic number.

20828187744 is a gapful number since it is divisible by the number (24) 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 20828187744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354285568).

20828187744 is an abundant number, since it is smaller than the sum of its proper divisors (49880383392).

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

20828187744 is a wasteful number, since it uses less digits than its factorization.

20828187744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11058 (or 11043 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 51.

The spelling of 20828187744 in words is "twenty billion, eight hundred twenty-eight million, one hundred eighty-seven thousand, seven hundred forty-four".