10805256487872 has 2240 divisors, whose sum is σ = 45118705190400. Its totient is φ = 2499029729280.

The previous prime is 10805256487871. The next prime is 10805256487873. The reversal of 10805256487872 is 27878465250801.

10805256487872 is a `hidden beast` number, since 1 + 0 + 80 + 5 + 2 + 5 + 6 + 487 + 8 + 72 = 666.

10805256487872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10805256487871) and next prime (10805256487873).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10805256487871) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14741140818 + ... + 14741141550.

Almost surely, 2^{10805256487872} is an apocalyptic number.

10805256487872 is a gapful number since it is divisible by the number (12) 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 10805256487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22559352595200).

10805256487872 is an abundant number, since it is smaller than the sum of its proper divisors (34313448702528).

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

10805256487872 is a wasteful number, since it uses less digits than its factorization.

10805256487872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

It can be divided in two parts, 10805256 and 487872, that added together give a triangular number (11293128 = T₄₇₅₂).

The spelling of 10805256487872 in words is "ten trillion, eight hundred five billion, two hundred fifty-six million, four hundred eighty-seven thousand, eight hundred seventy-two".