1095810054144 has 384 divisors, whose sum is σ = 3418739251200. Its totient is φ = 309109063680.

The previous prime is 1095810054127. The next prime is 1095810054151. The reversal of 1095810054144 is 4414500185901.

1095810054144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1095810054096 and 1095810054105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47032962 + ... + 47056254.

It is an arithmetic number, because the mean of its divisors is an integer number (8902966800).

Almost surely, 2^{1095810054144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1095810054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709369625600).

1095810054144 is an abundant number, since it is smaller than the sum of its proper divisors (2322929197056).

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

1095810054144 is a wasteful number, since it uses less digits than its factorization.

1095810054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23381 (or 23361 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 1095810054144 in words is "one trillion, ninety-five billion, eight hundred ten million, fifty-four thousand, one hundred forty-four".