87444240030000 has 300 divisors, whose sum is σ = 349491589054608. Its totient is φ = 19987254720000.

The previous prime is 87444240029999. The next prime is 87444240030047. The reversal of 87444240030000 is 3004244478.

It is a happy number.

87444240030000 is a `hidden beast` number, since 8 + 74 + 44 + 240 + 0 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×87444240030000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68770191 + ... + 70030190.

Almost surely, 2^{87444240030000} is an apocalyptic number.

87444240030000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87444240030000 is an abundant number, since it is smaller than the sum of its proper divisors (262047349024608).

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

87444240030000 is a wasteful number, since it uses less digits than its factorization.

87444240030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138800422 (or 138800398 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 87444240030000 its reverse (3004244478), we get a palindrome (87447244274478).

The spelling of 87444240030000 in words is "eighty-seven trillion, four hundred forty-four billion, two hundred forty million, thirty thousand".