804543153120 has 960 divisors, whose sum is σ = 3441722296320. Its totient is φ = 172894445568.

The previous prime is 804543153119. The next prime is 804543153131. The reversal of 804543153120 is 21351345408.

804543153120 is a `hidden beast` number, since 8 + 0 + 454 + 31 + 53 + 120 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 236142457 + ... + 236145863.

It is an arithmetic number, because the mean of its divisors is an integer number (3585127392).

Almost surely, 2^804543153120 is an apocalyptic number.

804543153120 is a gapful number since it is divisible by the number (80) 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 804543153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720861148160).

804543153120 is an abundant number, since it is smaller than the sum of its proper divisors (2637179143200).

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

804543153120 is a wasteful number, since it uses less digits than its factorization.

804543153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 804543153120 its reverse (21351345408), we get a palindrome (825894498528).

The spelling of 804543153120 in words is "eight hundred four billion, five hundred forty-three million, one hundred fifty-three thousand, one hundred twenty".