33552287868960 has 1344 divisors, whose sum is σ = 143321469984000. Its totient is φ = 7247771467776.

The previous prime is 33552287868919. The next prime is 33552287869039. The reversal of 33552287868960 is 6986878225533.

33552287868960 is a `hidden beast` number, since 3 + 3 + 5 + 522 + 8 + 7 + 8 + 6 + 8 + 96 + 0 = 666.

It is a super-2 number, since 2×33552287868960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6965388472 + ... + 6965393288.

It is an arithmetic number, because the mean of its divisors is an integer number (106637998500).

Almost surely, 2^{33552287868960} is an apocalyptic number.

33552287868960 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 33552287868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71660734992000).

33552287868960 is an abundant number, since it is smaller than the sum of its proper divisors (109769182115040).

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

33552287868960 is a wasteful number, since it uses less digits than its factorization.

33552287868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 33552287868960 in words is "thirty-three trillion, five hundred fifty-two billion, two hundred eighty-seven million, eight hundred sixty-eight thousand, nine hundred sixty".