8880238825920 has 1008 divisors, whose sum is σ = 40626958567104. Its totient is φ = 1736692531200.

The previous prime is 8880238825901. The next prime is 8880238825949. The reversal of 8880238825920 is 295288320888.

8880238825920 is a `hidden beast` number, since 8 + 8 + 8 + 0 + 2 + 38 + 8 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41362050 + ... + 41576190.

It is an arithmetic number, because the mean of its divisors is an integer number (40304522388).

Almost surely, 2^{8880238825920} is an apocalyptic number.

8880238825920 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 8880238825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20313479283552).

8880238825920 is an abundant number, since it is smaller than the sum of its proper divisors (31746719741184).

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

8880238825920 is a wasteful number, since it uses less digits than its factorization.

8880238825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214210 (or 214186 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 8880238825920 in words is "eight trillion, eight hundred eighty billion, two hundred thirty-eight million, eight hundred twenty-five thousand, nine hundred twenty".