10871493602976 has 72 divisors (see below), whose sum is σ = 32259975602400. Its totient is φ = 3466273320576.

The previous prime is 10871493602939. The next prime is 10871493603071. The reversal of 10871493602976 is 67920639417801.

10871493602976 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 14 + 9 + 3 + 602 + 9 + 7 + 6 = 666.

10871493602976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820607326 + ... + 820620573.

It is an arithmetic number, because the mean of its divisors is an integer number (448055216700).

Almost surely, 2^{10871493602976} is an apocalyptic number.

10871493602976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10871493602976 is an abundant number, since it is smaller than the sum of its proper divisors (21388481999424).

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

10871493602976 is a wasteful number, since it uses less digits than its factorization.

10871493602976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641227938 (or 1641227927 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 10871493602976 in words is "ten trillion, eight hundred seventy-one billion, four hundred ninety-three million, six hundred two thousand, nine hundred seventy-six".