1085447995632 has 1920 divisors, whose sum is σ = 4617464463360. Its totient is φ = 236489932800.

The previous prime is 1085447995607. The next prime is 1085447995661. The reversal of 1085447995632 is 2365997445801.

1085447995632 is a `hidden beast` number, since 1 + 0 + 8 + 544 + 7 + 9 + 9 + 56 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1085447995632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2506808088 + ... + 2506808520.

It is an arithmetic number, because the mean of its divisors is an integer number (2404929408).

It is a 1-persistent number, because it is pandigital, but 2⋅1085447995632 = 2170895991264 is not.

Almost surely, 2^{1085447995632} is an apocalyptic number.

1085447995632 is a gapful number since it is divisible by the number (12) 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 1085447995632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308732231680).

1085447995632 is an abundant number, since it is smaller than the sum of its proper divisors (3532016467728).

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

1085447995632 is a wasteful number, since it uses less digits than its factorization.

1085447995632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 1085447995632 in words is "one trillion, eighty-five billion, four hundred forty-seven million, nine hundred ninety-five thousand, six hundred thirty-two".