10855413854880 has 768 divisors, whose sum is σ = 40834783051776. Its totient is φ = 2371853352960.

The previous prime is 10855413854851. The next prime is 10855413854917. The reversal of 10855413854880 is 8845831455801.

10855413854880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9931759614 + ... + 9931760706.

It is an arithmetic number, because the mean of its divisors is an integer number (53170290432).

Almost surely, 2^{10855413854880} is an apocalyptic number.

10855413854880 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 10855413854880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20417391525888).

10855413854880 is an abundant number, since it is smaller than the sum of its proper divisors (29979369196896).

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

10855413854880 is a wasteful number, since it uses less digits than its factorization.

10855413854880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 24576000, while the sum is 60.

The spelling of 10855413854880 in words is "ten trillion, eight hundred fifty-five billion, four hundred thirteen million, eight hundred fifty-four thousand, eight hundred eighty".