9873871469280 has 1152 divisors, whose sum is σ = 43094184247296. Its totient is φ = 2002599936000.

The previous prime is 9873871469263. The next prime is 9873871469309. The reversal of 9873871469280 is 829641783789.

9873871469280 is a `hidden beast` number, since 9 + 8 + 7 + 3 + 87 + 1 + 469 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9873871469199 and 9873871469208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 613390192 + ... + 613406288.

It is an arithmetic number, because the mean of its divisors is an integer number (37408146048).

Almost surely, 2^{9873871469280} is an apocalyptic number.

9873871469280 is a gapful number since it is divisible by the number (90) 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 9873871469280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547092123648).

9873871469280 is an abundant number, since it is smaller than the sum of its proper divisors (33220312778016).

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

9873871469280 is a wasteful number, since it uses less digits than its factorization.

9873871469280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16320 (or 16309 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 9873871469280 in words is "nine trillion, eight hundred seventy-three billion, eight hundred seventy-one million, four hundred sixty-nine thousand, two hundred eighty".