1032097852800 has 960 divisors, whose sum is σ = 4608946124640. Its totient is φ = 222024499200.

The previous prime is 1032097852781. The next prime is 1032097852811. The reversal of 1032097852800 is 82587902301.

It is a happy number.

1032097852800 is a `hidden beast` number, since 1 + 0 + 32 + 0 + 97 + 8 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×1032097852800³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30828070 + ... + 30861530.

Almost surely, 2^{1032097852800} is an apocalyptic number.

1032097852800 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 1032097852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304473062320).

1032097852800 is an abundant number, since it is smaller than the sum of its proper divisors (3576848271840).

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

1032097852800 is a wasteful number, since it uses less digits than its factorization.

1032097852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33521 (or 33495 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1032097852800 in words is "one trillion, thirty-two billion, ninety-seven million, eight hundred fifty-two thousand, eight hundred".