10855304405400 has 384 divisors, whose sum is σ = 42262420032000. Its totient is φ = 2290349376000.

The previous prime is 10855304405369. The next prime is 10855304405401. The reversal of 10855304405400 is 450440355801.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10855304405401) 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, 646675 + ... + 4704125.

It is an arithmetic number, because the mean of its divisors is an integer number (110058385500).

Almost surely, 2^{10855304405400} is an apocalyptic number.

10855304405400 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 10855304405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21131210016000).

10855304405400 is an abundant number, since it is smaller than the sum of its proper divisors (31407115626600).

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

10855304405400 is a wasteful number, since it uses less digits than its factorization.

10855304405400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057504 (or 4057481 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 10855304405400 in words is "ten trillion, eight hundred fifty-five billion, three hundred four million, four hundred five thousand, four hundred".