921680881505280 has 1320 divisors, whose sum is σ = 3675302144619336. Its totient is φ = 219555501834240.

The previous prime is 921680881505273. The next prime is 921680881505323. The reversal of 921680881505280 is 82505188086129.

921680881505280 is a `hidden beast` number, since 9 + 2 + 16 + 8 + 0 + 88 + 15 + 0 + 528 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1326440530944 + 920354440974336 = 1151712^2 + 30337344^2 .

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 119 ways as a sum of consecutive naturals, for example, 5181008014 + ... + 5181185906.

Almost surely, 2^{921680881505280} is an apocalyptic number.

921680881505280 is a gapful number since it is divisible by the number (90) 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 921680881505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837651072309668).

921680881505280 is an abundant number, since it is smaller than the sum of its proper divisors (2753621263114056).

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

921680881505280 is a wasteful number, since it uses less digits than its factorization.

921680881505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178005 (or 177947 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 921680881505280 in words is "nine hundred twenty-one trillion, six hundred eighty billion, eight hundred eighty-one million, five hundred five thousand, two hundred eighty".