10871357760 has 448 divisors, whose sum is σ = 40695920640. Its totient is φ = 2727198720.

The previous prime is 10871357713. The next prime is 10871357821. The reversal of 10871357760 is 6775317801.

10871357760 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 13 + 577 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9909532 + ... + 9910628.

Almost surely, 2^10871357760 is an apocalyptic number.

10871357760 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 10871357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20347960320).

10871357760 is an abundant number, since it is smaller than the sum of its proper divisors (29824562880).

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

10871357760 is a wasteful number, since it uses less digits than its factorization.

10871357760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 10871357760 in words is "ten billion, eight hundred seventy-one million, three hundred fifty-seven thousand, seven hundred sixty".