87810744000 has 448 divisors, whose sum is σ = 338167065600. Its totient is φ = 20069145600.

The previous prime is 87810743989. The next prime is 87810744001. The reversal of 87810744000 is 44701878.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 87810744000.

It is not an unprimeable number, because it can be changed into a prime (87810744001) by changing a digit.

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, 8226667 + ... + 8237333.

It is an arithmetic number, because the mean of its divisors is an integer number (754837200).

Almost surely, 2^87810744000 is an apocalyptic number.

87810744000 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 87810744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169083532800).

87810744000 is an abundant number, since it is smaller than the sum of its proper divisors (250356321600).

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

87810744000 is a wasteful number, since it uses less digits than its factorization.

87810744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10718 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 87810744000 in words is "eighty-seven billion, eight hundred ten million, seven hundred forty-four thousand".