10871402272848 has 1280 divisors, whose sum is σ = 38391542784000. Its totient is φ = 2908850061312.

The previous prime is 10871402272817. The next prime is 10871402272859. The reversal of 10871402272848 is 84827220417801.

10871402272848 is a `hidden beast` number, since 10 + 87 + 1 + 402 + 2 + 72 + 84 + 8 = 666.

It is a super-2 number, since 2×10871402272848² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10871402272794 and 10871402272803.

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, 16802785261 + ... + 16802785907.

It is an arithmetic number, because the mean of its divisors is an integer number (29993392800).

Almost surely, 2^{10871402272848} is an apocalyptic number.

10871402272848 is a gapful number since it is divisible by the number (18) 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 10871402272848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19195771392000).

10871402272848 is an abundant number, since it is smaller than the sum of its proper divisors (27520140511152).

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

10871402272848 is a wasteful number, since it uses less digits than its factorization.

10871402272848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 10871402272848 in words is "ten trillion, eight hundred seventy-one billion, four hundred two million, two hundred seventy-two thousand, eight hundred forty-eight".