1035216322560 has 1024 divisors, whose sum is σ = 4261012300800. Its totient is φ = 233570304000.

The previous prime is 1035216322537. The next prime is 1035216322589. The reversal of 1035216322560 is 652236125301.

1035216322560 is a `hidden beast` number, since 1 + 0 + 3 + 52 + 16 + 32 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3127541595 + ... + 3127541925.

It is an arithmetic number, because the mean of its divisors is an integer number (4161144825).

Almost surely, 2^{1035216322560} is an apocalyptic number.

1035216322560 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 1035216322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130506150400).

1035216322560 is an abundant number, since it is smaller than the sum of its proper divisors (3225795978240).

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

1035216322560 is an equidigital number, since it uses as much as digits as its factorization.

1035216322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1035216322560 in words is "one trillion, thirty-five billion, two hundred sixteen million, three hundred twenty-two thousand, five hundred sixty".