1085477315328 has 864 divisors, whose sum is σ = 3956464512000. Its totient is φ = 284953116672.

The previous prime is 1085477315291. The next prime is 1085477315353. The reversal of 1085477315328 is 8235137745801.

1085477315328 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 4 + 77 + 31 + 532 + 8 = 666.

It is a super-2 number, since 2×1085477315328² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 577687893 + ... + 577689771.

Almost surely, 2^{1085477315328} is an apocalyptic number.

1085477315328 is a gapful number since it is divisible by the number (18) 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 1085477315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978232256000).

1085477315328 is an abundant number, since it is smaller than the sum of its proper divisors (2870987196672).

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

1085477315328 is a wasteful number, since it uses less digits than its factorization.

1085477315328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 1085477315328 in words is "one trillion, eighty-five billion, four hundred seventy-seven million, three hundred fifteen thousand, three hundred twenty-eight".