1085824500480 has 1152 divisors, whose sum is σ = 4324266777600. Its totient is φ = 256396492800.

The previous prime is 1085824500479. The next prime is 1085824500503. The reversal of 1085824500480 is 840054285801.

1085824500480 is a `hidden beast` number, since 1 + 0 + 85 + 8 + 24 + 500 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2355367450 + ... + 2355367910.

It is an arithmetic number, because the mean of its divisors is an integer number (3753703800).

Almost surely, 2^{1085824500480} is an apocalyptic number.

1085824500480 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 1085824500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162133388800).

1085824500480 is an abundant number, since it is smaller than the sum of its proper divisors (3238442277120).

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

1085824500480 is a wasteful number, since it uses less digits than its factorization.

1085824500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 1085824500480 in words is "one trillion, eighty-five billion, eight hundred twenty-four million, five hundred thousand, four hundred eighty".