87268866048 has 1152 divisors, whose sum is σ = 336561039360. Its totient is φ = 21976842240.

The previous prime is 87268866031. The next prime is 87268866067. The reversal of 87268866048 is 84066886278.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1856784361 + ... + 1856784407.

It is an arithmetic number, because the mean of its divisors is an integer number (292153680).

Almost surely, 2^87268866048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87268866048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168280519680).

87268866048 is an abundant number, since it is smaller than the sum of its proper divisors (249292173312).

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

87268866048 is a wasteful number, since it uses less digits than its factorization.

87268866048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 87268866048 in words is "eighty-seven billion, two hundred sixty-eight million, eight hundred sixty-six thousand, forty-eight".