87982762444800 has 2304 divisors, whose sum is σ = 331484243650560. Its totient is φ = 20467679232000.

The previous prime is 87982762444763. The next prime is 87982762444849. The reversal of 87982762444800 is 844426728978.

It is a Harshad number since it is a multiple of its sum of digits (69).

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 191 ways as a sum of consecutive naturals, for example, 416979916695 + ... + 416979916905.

It is an arithmetic number, because the mean of its divisors is an integer number (143873369640).

Almost surely, 2^{87982762444800} is an apocalyptic number.

87982762444800 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 87982762444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165742121825280).

87982762444800 is an abundant number, since it is smaller than the sum of its proper divisors (243501481205760).

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

87982762444800 is a wasteful number, since it uses less digits than its factorization.

87982762444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 69.

The spelling of 87982762444800 in words is "eighty-seven trillion, nine hundred eighty-two billion, seven hundred sixty-two million, four hundred forty-four thousand, eight hundred".