1085788828740 has 768 divisors, whose sum is σ = 4120946565120. Its totient is φ = 206789345280.

The previous prime is 1085788828739. The next prime is 1085788828741. The reversal of 1085788828740 is 478288875801.

It is a happy number.

1085788828740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1085788828739) and next prime (1085788828741).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (1085788828741) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 639827572 + ... + 639829268.

It is an arithmetic number, because the mean of its divisors is an integer number (5365815840).

Almost surely, 2^{1085788828740} is an apocalyptic number.

1085788828740 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 1085788828740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060473282560).

1085788828740 is an abundant number, since it is smaller than the sum of its proper divisors (3035157736380).

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

1085788828740 is a wasteful number, since it uses less digits than its factorization.

1085788828740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 66.

The spelling of 1085788828740 in words is "one trillion, eighty-five billion, seven hundred eighty-eight million, eight hundred twenty-eight thousand, seven hundred forty".