33625116320 has 96 divisors (see below), whose sum is σ = 80517265920. Its totient is φ = 13268551680.

The previous prime is 33625116319. The next prime is 33625116331. The reversal of 33625116320 is 2361152633.

It is a super-2 number, since 2×33625116320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 4462316 + ... + 4469844.

It is an arithmetic number, because the mean of its divisors is an integer number (838721520).

Almost surely, 2^33625116320 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 33625116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40258632960).

33625116320 is an abundant number, since it is smaller than the sum of its proper divisors (46892149600).

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

33625116320 is a wasteful number, since it uses less digits than its factorization.

33625116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7918 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 33625116320 its reverse (2361152633), we get a palindrome (35986268953).

The spelling of 33625116320 in words is "thirty-three billion, six hundred twenty-five million, one hundred sixteen thousand, three hundred twenty".