33520790016 has 240 divisors, whose sum is σ = 111221345664. Its totient is φ = 9520422912.

The previous prime is 33520790011. The next prime is 33520790027. The reversal of 33520790016 is 61009702533.

33520790016 is a `hidden beast` number, since 33 + 520 + 7 + 90 + 0 + 16 = 666.

It is a super-2 number, since 2×33520790016² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33520790011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5577285 + ... + 5583291.

Almost surely, 2^33520790016 is an apocalyptic number.

33520790016 is a gapful number since it is divisible by the number (36) 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 33520790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55610672832).

33520790016 is an abundant number, since it is smaller than the sum of its proper divisors (77700555648).

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

33520790016 is a wasteful number, since it uses less digits than its factorization.

33520790016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 33520790016 in words is "thirty-three billion, five hundred twenty million, seven hundred ninety thousand, sixteen".