905374821120 has 576 divisors, whose sum is σ = 3702516120576. Its totient is φ = 183043031040.

The previous prime is 905374821119. The next prime is 905374821179. The reversal of 905374821120 is 21128473509.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 10898782 + ... + 10981538.

It is an arithmetic number, because the mean of its divisors is an integer number (6427979376).

Almost surely, 2^905374821120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905374821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851258060288).

905374821120 is an abundant number, since it is smaller than the sum of its proper divisors (2797141299456).

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

905374821120 is a wasteful number, since it uses less digits than its factorization.

905374821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82836 (or 82822 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 905374821120 in words is "nine hundred five billion, three hundred seventy-four million, eight hundred twenty-one thousand, one hundred twenty".