87864220892448 has 2592 divisors, whose sum is σ = 368389789447680. Its totient is φ = 20382476083200.

The previous prime is 87864220892443. The next prime is 87864220892491. The reversal of 87864220892448 is 84429802246878.

87864220892448 is a `hidden beast` number, since 8 + 7 + 86 + 4 + 2 + 20 + 89 + 2 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-3 number, since 3×87864220892448³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (87864220892443) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 18579870948 + ... + 18579875676.

Almost surely, 2^{87864220892448} is an apocalyptic number.

87864220892448 is a gapful number since it is divisible by the number (88) 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 87864220892448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184194894723840).

87864220892448 is an abundant number, since it is smaller than the sum of its proper divisors (280525568555232).

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

87864220892448 is a wasteful number, since it uses less digits than its factorization.

87864220892448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 792723456, while the sum is 72.

The spelling of 87864220892448 in words is "eighty-seven trillion, eight hundred sixty-four billion, two hundred twenty million, eight hundred ninety-two thousand, four hundred forty-eight".