20187545280 has 672 divisors, whose sum is σ = 79657261056. Its totient is φ = 4308885504.

The previous prime is 20187545267. The next prime is 20187545359. The reversal of 20187545280 is 8254578102.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 50850042 + ... + 50850438.

Almost surely, 2^20187545280 is an apocalyptic number.

20187545280 is a gapful number since it is divisible by the number (20) 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 20187545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39828630528).

20187545280 is an abundant number, since it is smaller than the sum of its proper divisors (59469715776).

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

20187545280 is a wasteful number, since it uses less digits than its factorization.

20187545280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 20187545280 in words is "twenty billion, one hundred eighty-seven million, five hundred forty-five thousand, two hundred eighty".