20871240143460 has 384 divisors, whose sum is σ = 72356220518400. Its totient is φ = 4389348165120.

The previous prime is 20871240143459. The next prime is 20871240143473. The reversal of 20871240143460 is 6434104217802.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38811015 + ... + 39345105.

It is an arithmetic number, because the mean of its divisors is an integer number (188427657600).

Almost surely, 2^{20871240143460} is an apocalyptic number.

20871240143460 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 20871240143460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36178110259200).

20871240143460 is an abundant number, since it is smaller than the sum of its proper divisors (51484980374940).

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

20871240143460 is a wasteful number, since it uses less digits than its factorization.

20871240143460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534271 (or 534269 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 20871240143460 in words is "twenty trillion, eight hundred seventy-one billion, two hundred forty million, one hundred forty-three thousand, four hundred sixty".