87841248330 has 256 divisors, whose sum is σ = 244620767232. Its totient is φ = 20146016000.

The previous prime is 87841248317. The next prime is 87841248359. The reversal of 87841248330 is 3384214878.

It is a super-3 number, since 3×87841248330³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87841248330.

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 127 ways as a sum of consecutive naturals, for example, 92756917 + ... + 92757863.

It is an arithmetic number, because the mean of its divisors is an integer number (955549872).

Almost surely, 2^87841248330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87841248330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122310383616).

87841248330 is an abundant number, since it is smaller than the sum of its proper divisors (156779518902).

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

87841248330 is a wasteful number, since it uses less digits than its factorization.

87841248330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 87841248330 in words is "eighty-seven billion, eight hundred forty-one million, two hundred forty-eight thousand, three hundred thirty".