10921168984320 has 2592 divisors, whose sum is σ = 49126822932096. Its totient is φ = 2307568435200.

The previous prime is 10921168984301. The next prime is 10921168984361. The reversal of 10921168984320 is 2348986112901.

It is a happy number.

10921168984320 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 116 + 8 + 98 + 432 + 0 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15804875175 + ... + 15804875865.

It is an arithmetic number, because the mean of its divisors is an integer number (18953249588).

Almost surely, 2^{10921168984320} is an apocalyptic number.

10921168984320 is a gapful number since it is divisible by the number (10) 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 10921168984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24563411466048).

10921168984320 is an abundant number, since it is smaller than the sum of its proper divisors (38205653947776).

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

10921168984320 is an equidigital number, since it uses as much as digits as its factorization.

10921168984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 10921168984320 in words is "ten trillion, nine hundred twenty-one billion, one hundred sixty-eight million, nine hundred eighty-four thousand, three hundred twenty".