33528040000 has 560 divisors, whose sum is σ = 104690688256. Its totient is φ = 10368000000.

The previous prime is 33528039989. The next prime is 33528040027. The reversal of 33528040000 is 4082533.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×33528040000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 79 ways as a sum of consecutive naturals, for example, 222039925 + ... + 222040075.

Almost surely, 2^33528040000 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 33528040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52345344128).

33528040000 is an abundant number, since it is smaller than the sum of its proper divisors (71162648256).

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

33528040000 is a wasteful number, since it uses less digits than its factorization.

33528040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 33528040000 in words is "thirty-three billion, five hundred twenty-eight million, forty thousand".