20628451584 has 108 divisors (see below), whose sum is σ = 64052151436. Its totient is φ = 6347206656.

The previous prime is 20628451573. The next prime is 20628451633. The reversal of 20628451584 is 48515482602.

20628451584 is a `hidden beast` number, since 2 + 0 + 6 + 28 + 45 + 1 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11040125184 + 9588326400 = 105072^2 + 97920^2 .

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 11 ways as a sum of consecutive naturals, for example, 314407 + ... + 374310.

Almost surely, 2^20628451584 is an apocalyptic number.

20628451584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20628451584 is an abundant number, since it is smaller than the sum of its proper divisors (43423699852).

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

20628451584 is a wasteful number, since it uses less digits than its factorization.

20628451584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688752 (or 688735 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 20628451584 in words is "twenty billion, six hundred twenty-eight million, four hundred fifty-one thousand, five hundred eighty-four".