10871486751000 has 1024 divisors, whose sum is σ = 37263700131840. Its totient is φ = 2630707200000.

The previous prime is 10871486750989. The next prime is 10871486751017. The reversal of 10871486751000 is 15768417801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31329932827 + ... + 31329933173.

It is an arithmetic number, because the mean of its divisors is an integer number (36390332160).

Almost surely, 2^{10871486751000} is an apocalyptic number.

10871486751000 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 10871486751000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18631850065920).

10871486751000 is an abundant number, since it is smaller than the sum of its proper divisors (26392213380840).

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

10871486751000 is a wasteful number, since it uses less digits than its factorization.

10871486751000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 48.

The spelling of 10871486751000 in words is "ten trillion, eight hundred seventy-one billion, four hundred eighty-six million, seven hundred fifty-one thousand".