1085130556416 has 165 divisors, whose sum is σ = 3241308121909. Its totient is φ = 361610182656.

The previous prime is 1085130556409. The next prime is 1085130556457. The reversal of 1085130556416 is 6146550315801.

It is a happy number.

The square root of 1085130556416 is 1041696.

It is a perfect power (a square), and thus also a powerful number.

1085130556416 is a `hidden beast` number, since 1 + 0 + 8 + 51 + 3 + 0 + 556 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5393433600 + 1079737122816 = 73440^2 + 1039104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 300006640 + ... + 300010256.

Almost surely, 2^{1085130556416} is an apocalyptic number.

1085130556416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1085130556416 is the 1041696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085130556416

1085130556416 is an abundant number, since it is smaller than the sum of its proper divisors (2156177565493).

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

1085130556416 is an frugal number, since it uses more digits than its factorization.

1085130556416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1085130556416 in words is "one trillion, eighty-five billion, one hundred thirty million, five hundred fifty-six thousand, four hundred sixteen".