1082719431360 has 784 divisors, whose sum is σ = 4448064125952. Its totient is φ = 245783808000.

The previous prime is 1082719431323. The next prime is 1082719431361. The reversal of 1082719431360 is 631349172801.

1082719431360 is a `hidden beast` number, since 1 + 0 + 8 + 271 + 9 + 4 + 313 + 60 = 666.

1082719431360 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 (45).

It is not an unprimeable number, because it can be changed into a prime (1082719431361) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 246574765 + ... + 246579155.

Almost surely, 2^{1082719431360} is an apocalyptic number.

1082719431360 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 1082719431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224032062976).

1082719431360 is an abundant number, since it is smaller than the sum of its proper divisors (3365344694592).

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

1082719431360 is an equidigital number, since it uses as much as digits as its factorization.

1082719431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1082719431360 in words is "one trillion, eighty-two billion, seven hundred nineteen million, four hundred thirty-one thousand, three hundred sixty".