87944800944 has 720 divisors, whose sum is σ = 320775469056. Its totient is φ = 20408371200.

The previous prime is 87944800939. The next prime is 87944800963. The reversal of 87944800944 is 44900844978.

It is a super-2 number, since 2×87944800944² (a number of 23 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 460443889 + ... + 460444079.

Almost surely, 2^87944800944 is an apocalyptic number.

87944800944 is a gapful number since it is divisible by the number (84) 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 87944800944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160387734528).

87944800944 is an abundant number, since it is smaller than the sum of its proper divisors (232830668112).

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

87944800944 is a wasteful number, since it uses less digits than its factorization.

87944800944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

It can be divided in two parts, 87944 and 800944, that added together give a palindrome (888888).

The spelling of 87944800944 in words is "eighty-seven billion, nine hundred forty-four million, eight hundred thousand, nine hundred forty-four".