10854297583584 has 576 divisors, whose sum is σ = 38140711963200. Its totient is φ = 2669533396992.

The previous prime is 10854297583583. The next prime is 10854297583621. The reversal of 10854297583584 is 48538579245801.

It is a super-2 number, since 2×10854297583584² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10854297583583) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113266762 + ... + 113362550.

It is an arithmetic number, because the mean of its divisors is an integer number (66216513825).

Almost surely, 2^{10854297583584} is an apocalyptic number.

10854297583584 is a gapful number since it is divisible by the number (14) 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 10854297583584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19070355981600).

10854297583584 is an abundant number, since it is smaller than the sum of its proper divisors (27286414379616).

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

10854297583584 is a wasteful number, since it uses less digits than its factorization.

10854297583584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95955 (or 95940 counting only the distinct ones).

The product of its (nonzero) digits is 387072000, while the sum is 69.

The spelling of 10854297583584 in words is "ten trillion, eight hundred fifty-four billion, two hundred ninety-seven million, five hundred eighty-three thousand, five hundred eighty-four".