20787028560 has 120 divisors (see below), whose sum is σ = 70954343304. Its totient is φ = 5452323840.

The previous prime is 20787028547. The next prime is 20787028589. The reversal of 20787028560 is 6582078702.

20787028560 is a `hidden beast` number, since 2 + 0 + 7 + 87 + 0 + 2 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178703424 + 20608325136 = 13368^2 + 143556^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 192727 + ... + 280566.

Almost surely, 2^20787028560 is an apocalyptic number.

20787028560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20787028560 is an abundant number, since it is smaller than the sum of its proper divisors (50167314744).

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

20787028560 is a wasteful number, since it uses less digits than its factorization.

20787028560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473373 (or 473364 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 20787028560 in words is "twenty billion, seven hundred eighty-seven million, twenty-eight thousand, five hundred sixty".