33155129772 has 72 divisors (see below), whose sum is σ = 84956180400. Its totient is φ = 10901011968.

The previous prime is 33155129753. The next prime is 33155129837. The reversal of 33155129772 is 27792155133.

33155129772 is a `hidden beast` number, since 3 + 3 + 1 + 551 + 2 + 97 + 7 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1330128 + ... + 1354824.

It is an arithmetic number, because the mean of its divisors is an integer number (1179946950).

Almost surely, 2^33155129772 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 33155129772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42478090200).

33155129772 is an abundant number, since it is smaller than the sum of its proper divisors (51801050628).

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

33155129772 is a wasteful number, since it uses less digits than its factorization.

33155129772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25215 (or 25210 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The spelling of 33155129772 in words is "thirty-three billion, one hundred fifty-five million, one hundred twenty-nine thousand, seven hundred seventy-two".