33087648960 has 224 divisors, whose sum is σ = 117569894400. Its totient is φ = 8759577600.

The previous prime is 33087648949. The next prime is 33087648967. The reversal of 33087648960 is 6984678033.

33087648960 is a `hidden beast` number, since 3 + 30 + 8 + 76 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 33087648897 and 33087648906.

It is not an unprimeable number, because it can be changed into a prime (33087648967) 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 31 ways as a sum of consecutive naturals, for example, 1187185 + ... + 1214735.

It is an arithmetic number, because the mean of its divisors is an integer number (524865600).

Almost surely, 2^33087648960 is an apocalyptic number.

33087648960 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 33087648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58784947200).

33087648960 is an abundant number, since it is smaller than the sum of its proper divisors (84482245440).

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

33087648960 is a wasteful number, since it uses less digits than its factorization.

33087648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27716 (or 27700 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 33087648960 in words is "thirty-three billion, eighty-seven million, six hundred forty-eight thousand, nine hundred sixty".