1165001032800 has 1440 divisors, whose sum is σ = 4806901338624. Its totient is φ = 272097792000.

The previous prime is 1165001032781. The next prime is 1165001032801. The reversal of 1165001032800 is 82301005611.

1165001032800 is a `hidden beast` number, since 1 + 1 + 650 + 0 + 1 + 0 + 3 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165001032801) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 4298896665 + ... + 4298896935.

Almost surely, 2^{1165001032800} is an apocalyptic number.

1165001032800 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 1165001032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403450669312).

1165001032800 is an abundant number, since it is smaller than the sum of its proper divisors (3641900305824).

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

1165001032800 is a wasteful number, since it uses less digits than its factorization.

1165001032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1165001032800 in words is "one trillion, one hundred sixty-five billion, one million, thirty-two thousand, eight hundred".