816581152800 has 1440 divisors, whose sum is σ = 3502332586368. Its totient is φ = 181308948480.

The previous prime is 816581152789. The next prime is 816581152817. The reversal of 816581152800 is 8251185618.

816581152800 is a `hidden beast` number, since 8 + 16 + 581 + 1 + 52 + 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2947946262 + ... + 2947946538.

Almost surely, 2^816581152800 is an apocalyptic number.

816581152800 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 816581152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751166293184).

816581152800 is an abundant number, since it is smaller than the sum of its proper divisors (2685751433568).

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

816581152800 is a wasteful number, since it uses less digits than its factorization.

816581152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 816581152800 in words is "eight hundred sixteen billion, five hundred eighty-one million, one hundred fifty-two thousand, eight hundred".