87348894864 has 320 divisors, whose sum is σ = 303035842560. Its totient is φ = 20993333760.

The previous prime is 87348894823. The next prime is 87348894881. The reversal of 87348894864 is 46849884378.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3005169 + ... + 3034095.

It is an arithmetic number, because the mean of its divisors is an integer number (946987008).

Almost surely, 2^87348894864 is an apocalyptic number.

87348894864 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 87348894864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151517921280).

87348894864 is an abundant number, since it is smaller than the sum of its proper divisors (215686947696).

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

87348894864 is a wasteful number, since it uses less digits than its factorization.

87348894864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29018 (or 29012 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 69.

The spelling of 87348894864 in words is "eighty-seven billion, three hundred forty-eight million, eight hundred ninety-four thousand, eight hundred sixty-four".