1085948424960 has 288 divisors, whose sum is σ = 3978364680192. Its totient is φ = 247299194880.

The previous prime is 1085948424877. The next prime is 1085948424973. The reversal of 1085948424960 is 694248495801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1085948424894 and 1085948424903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7209942 + ... + 7359018.

Almost surely, 2^{1085948424960} is an apocalyptic number.

1085948424960 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 1085948424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989182340096).

1085948424960 is an abundant number, since it is smaller than the sum of its proper divisors (2892416255232).

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

1085948424960 is a wasteful number, since it uses less digits than its factorization.

1085948424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149379 (or 149365 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 1085948424960 in words is "one trillion, eighty-five billion, nine hundred forty-eight million, four hundred twenty-four thousand, nine hundred sixty".