33997528950 has 192 divisors, whose sum is σ = 105589813248. Its totient is φ = 7032758400.

The previous prime is 33997528949. The next prime is 33997528963. The reversal of 33997528950 is 5982579933.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2615367 + ... + 2628333.

It is an arithmetic number, because the mean of its divisors is an integer number (549946944).

Almost surely, 2^33997528950 is an apocalyptic number.

33997528950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33997528950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52794906624).

33997528950 is an abundant number, since it is smaller than the sum of its proper divisors (71592284298).

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

33997528950 is a wasteful number, since it uses less digits than its factorization.

33997528950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13227 (or 13222 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 60.

The spelling of 33997528950 in words is "thirty-three billion, nine hundred ninety-seven million, five hundred twenty-eight thousand, nine hundred fifty".