87343038744000 has 448 divisors, whose sum is σ = 314334009400320. Its totient is φ = 21240784588800.

The previous prime is 87343038743969. The next prime is 87343038744037. The reversal of 87343038744000 is 44783034378.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 24209581 + ... + 27582419.

It is an arithmetic number, because the mean of its divisors is an integer number (701638413840).

Almost surely, 2^{87343038744000} is an apocalyptic number.

87343038744000 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 87343038744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157167004700160).

87343038744000 is an abundant number, since it is smaller than the sum of its proper divisors (226990970656320).

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

87343038744000 is a wasteful number, since it uses less digits than its factorization.

87343038744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372965 (or 3372945 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 51.

The spelling of 87343038744000 in words is "eighty-seven trillion, three hundred forty-three billion, thirty-eight million, seven hundred forty-four thousand".