1095257249904 has 160 divisors (see below), whose sum is σ = 3082636627200. Its totient is φ = 333770250240.

The previous prime is 1095257249893. The next prime is 1095257249917. The reversal of 1095257249904 is 4099427525901.

It is a happy number.

1095257249904 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 (57).

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, 56350972 + ... + 56370404.

It is an arithmetic number, because the mean of its divisors is an integer number (19266478920).

Almost surely, 2^{1095257249904} 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 1095257249904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541318313600).

1095257249904 is an abundant number, since it is smaller than the sum of its proper divisors (1987379377296).

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

1095257249904 is a wasteful number, since it uses less digits than its factorization.

1095257249904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21623 (or 21617 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 1095257249904 in words is "one trillion, ninety-five billion, two hundred fifty-seven million, two hundred forty-nine thousand, nine hundred four".