33265225840 has 360 divisors, whose sum is σ = 103633871472. Its totient is φ = 9818081280.

The previous prime is 33265225789. The next prime is 33265225843. The reversal of 33265225840 is 4852256233.

It is a super-2 number, since 2×33265225840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 33265225793 and 33265225802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33265225843) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 15565252 + ... + 15567388.

Almost surely, 2^33265225840 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 33265225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51816935736).

33265225840 is an abundant number, since it is smaller than the sum of its proper divisors (70368645632).

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

33265225840 is a wasteful number, since it uses less digits than its factorization.

33265225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 33265225840 in words is "thirty-three billion, two hundred sixty-five million, two hundred twenty-five thousand, eight hundred forty".