8921538616320 has 1408 divisors, whose sum is σ = 36157704929280. Its totient is φ = 2066840616960.

The previous prime is 8921538616313. The next prime is 8921538616351. The reversal of 8921538616320 is 236168351298.

8921538616320 is a `hidden beast` number, since 8 + 9 + 2 + 15 + 3 + 8 + 616 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3073211989 + ... + 3073214891.

It is an arithmetic number, because the mean of its divisors is an integer number (25680188160).

Almost surely, 2^{8921538616320} is an apocalyptic number.

8921538616320 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 8921538616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18078852464640).

8921538616320 is an abundant number, since it is smaller than the sum of its proper divisors (27236166312960).

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

8921538616320 is a wasteful number, since it uses less digits than its factorization.

8921538616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 8921538616320 in words is "eight trillion, nine hundred twenty-one billion, five hundred thirty-eight million, six hundred sixteen thousand, three hundred twenty".