33121882752 has 256 divisors, whose sum is σ = 105991545600. Its totient is φ = 8963555328.

The previous prime is 33121882747. The next prime is 33121882763. The reversal of 33121882752 is 25728812133.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4127448 + ... + 4135464.

It is an arithmetic number, because the mean of its divisors is an integer number (414029475).

Almost surely, 2^33121882752 is an apocalyptic number.

33121882752 is a gapful number since it is divisible by the number (32) 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 33121882752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52995772800).

33121882752 is an abundant number, since it is smaller than the sum of its proper divisors (72869662848).

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

33121882752 is a wasteful number, since it uses less digits than its factorization.

33121882752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8123 (or 8111 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 33121882752 in words is "thirty-three billion, one hundred twenty-one million, eight hundred eighty-two thousand, seven hundred fifty-two".