10875272518656 has 1056 divisors, whose sum is σ = 40245440912768. Its totient is φ = 2751882854400.

The previous prime is 10875272518633. The next prime is 10875272518661. The reversal of 10875272518656 is 65681527257801.

It is a happy number.

10875272518656 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 52 + 7 + 2 + 518 + 65 + 6 = 666.

It is a super-3 number, since 3×10875272518656³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10875272518593 and 10875272518602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2265207456 + ... + 2265212256.

Almost surely, 2^{10875272518656} is an apocalyptic number.

10875272518656 is a gapful number since it is divisible by the number (16) 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 10875272518656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20122720456384).

10875272518656 is an abundant number, since it is smaller than the sum of its proper divisors (29370168394112).

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

10875272518656 is a wasteful number, since it uses less digits than its factorization.

10875272518656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

It can be divided in two parts, 10875 and 272518656, that added together give a triangular number (272529531 = T₂₃₃₄₆).

The spelling of 10875272518656 in words is "ten trillion, eight hundred seventy-five billion, two hundred seventy-two million, five hundred eighteen thousand, six hundred fifty-six".