10555852806240 has 384 divisors, whose sum is σ = 38731125307392. Its totient is φ = 2366444421120.

The previous prime is 10555852806223. The next prime is 10555852806281. The reversal of 10555852806240 is 4260825855501.

10555852806240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10555852806240² (a number of 27 digits) contains 22 as substring.

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, 645175660 + ... + 645192020.

It is an arithmetic number, because the mean of its divisors is an integer number (100862305488).

Almost surely, 2^{10555852806240} is an apocalyptic number.

10555852806240 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 10555852806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19365562653696).

10555852806240 is an abundant number, since it is smaller than the sum of its proper divisors (28175272501152).

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

10555852806240 is a wasteful number, since it uses less digits than its factorization.

10555852806240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20062 (or 20054 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 51.

The spelling of 10555852806240 in words is "ten trillion, five hundred fifty-five billion, eight hundred fifty-two million, eight hundred six thousand, two hundred forty".