87224223098880 has 576 divisors, whose sum is σ = 358285682401920. Its totient is φ = 19936961298432.

The previous prime is 87224223098879. The next prime is 87224223099037. The reversal of 87224223098880 is 8889032242278.

87224223098880 is a `hidden beast` number, since 8 + 7 + 2 + 242 + 2 + 309 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14914422 + ... + 19922058.

It is an arithmetic number, because the mean of its divisors is an integer number (622023754170).

Almost surely, 2^{87224223098880} is an apocalyptic number.

87224223098880 is a gapful number since it is divisible by the number (80) 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 87224223098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179142841200960).

87224223098880 is an abundant number, since it is smaller than the sum of its proper divisors (271061459303040).

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

87224223098880 is an equidigital number, since it uses as much as digits as its factorization.

87224223098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007686 (or 5007654 counting only the distinct ones).

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

The spelling of 87224223098880 in words is "eighty-seven trillion, two hundred twenty-four billion, two hundred twenty-three million, ninety-eight thousand, eight hundred eighty".