35628549841920 has 528 divisors, whose sum is σ = 133033236427008. Its totient is φ = 8114639339520.

The previous prime is 35628549841919. The next prime is 35628549841931. The reversal of 35628549841920 is 2914894582653.

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 47 ways as a sum of consecutive naturals, for example, 211407609 + ... + 211576071.

Almost surely, 2^{35628549841920} is an apocalyptic number.

35628549841920 is a gapful number since it is divisible by the number (30) 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 35628549841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66516618213504).

35628549841920 is an abundant number, since it is smaller than the sum of its proper divisors (97404686585088).

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

35628549841920 is a wasteful number, since it uses less digits than its factorization.

35628549841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168786 (or 168761 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 66.

The spelling of 35628549841920 in words is "thirty-five trillion, six hundred twenty-eight billion, five hundred forty-nine million, eight hundred forty-one thousand, nine hundred twenty".