1073095096320 has 2304 divisors, whose sum is σ = 4636300032000. Its totient is φ = 226605662208.

The previous prime is 1073095096247. The next prime is 1073095096399. The reversal of 1073095096320 is 236905903701.

1073095096320 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 0 + 9 + 5 + 0 + 9 + 632 + 0 = 666.

1073095096320 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 (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18188052451 + ... + 18188052509.

It is an arithmetic number, because the mean of its divisors is an integer number (2012283000).

Almost surely, 2^{1073095096320} is an apocalyptic number.

1073095096320 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 1073095096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318150016000).

1073095096320 is an abundant number, since it is smaller than the sum of its proper divisors (3563204935680).

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

1073095096320 is a wasteful number, since it uses less digits than its factorization.

1073095096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 1073095096320 in words is "one trillion, seventy-three billion, ninety-five million, ninety-six thousand, three hundred twenty".