1795956480000 has 1440 divisors, whose sum is σ = 6897048238080. Its totient is φ = 449372160000.

The previous prime is 1795956479987. The next prime is 1795956480011. The reversal of 1795956480000 is 846595971.

1795956480000 is a `hidden beast` number, since 1 + 7 + 9 + 595 + 6 + 48 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×1795956480000³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16784639947 + ... + 16784640053.

It is an arithmetic number, because the mean of its divisors is an integer number (4789616832).

Almost surely, 2^{1795956480000} is an apocalyptic number.

1795956480000 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 1795956480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448524119040).

1795956480000 is an abundant number, since it is smaller than the sum of its proper divisors (5101091758080).

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

1795956480000 is a wasteful number, since it uses less digits than its factorization.

1795956480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1795956480000 in words is "one trillion, seven hundred ninety-five billion, nine hundred fifty-six million, four hundred eighty thousand".