19875905280 has 1296 divisors, whose sum is σ = 91113916320. Its totient is φ = 4087480320.

The previous prime is 19875905267. The next prime is 19875905333. The reversal of 19875905280 is 8250957891.

It is a super-2 number, since 2×19875905280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 204906192 + ... + 204906288.

Almost surely, 2^19875905280 is an apocalyptic number.

19875905280 is a gapful number since it is divisible by the number (10) 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 19875905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45556958160).

19875905280 is an abundant number, since it is smaller than the sum of its proper divisors (71238011040).

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

19875905280 is a wasteful number, since it uses less digits than its factorization.

19875905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 19875905280 in words is "nineteen billion, eight hundred seventy-five million, nine hundred five thousand, two hundred eighty".