87228663984 has 720 divisors, whose sum is σ = 326601310464. Its totient is φ = 21448627200.

The previous prime is 87228663827. The next prime is 87228663989. The reversal of 87228663984 is 48936682278.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (87228663989) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 233856822 + ... + 233857194.

Almost surely, 2^87228663984 is an apocalyptic number.

87228663984 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 87228663984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163300655232).

87228663984 is an abundant number, since it is smaller than the sum of its proper divisors (239372646480).

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

87228663984 is a wasteful number, since it uses less digits than its factorization.

87228663984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 87228663984 in words is "eighty-seven billion, two hundred twenty-eight million, six hundred sixty-three thousand, nine hundred eighty-four".