33985420560 has 640 divisors, whose sum is σ = 148000527360. Its totient is φ = 6975258624.

The previous prime is 33985420529. The next prime is 33985420589. The reversal of 33985420560 is 6502458933.

33985420560 is a `hidden beast` number, since 3 + 3 + 9 + 85 + 4 + 2 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7270384 + ... + 7275056.

It is an arithmetic number, because the mean of its divisors is an integer number (231250824).

Almost surely, 2^33985420560 is an apocalyptic number.

33985420560 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 33985420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74000263680).

33985420560 is an abundant number, since it is smaller than the sum of its proper divisors (114015106800).

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

33985420560 is a wasteful number, since it uses less digits than its factorization.

33985420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 33985420560 in words is "thirty-three billion, nine hundred eighty-five million, four hundred twenty thousand, five hundred sixty".