33275986920 has 512 divisors, whose sum is σ = 127119974400. Its totient is φ = 7664025600.

The previous prime is 33275986873. The next prime is 33275986921. The reversal of 33275986920 is 2968957233.

It is a happy number.

33275986920 is a `hidden beast` number, since 3 + 3 + 27 + 598 + 6 + 9 + 20 = 666.

It is a super-2 number, since 2×33275986920² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33275986921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52735005 + ... + 52735635.

It is an arithmetic number, because the mean of its divisors is an integer number (248281200).

Almost surely, 2^33275986920 is an apocalyptic number.

33275986920 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 33275986920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63559987200).

33275986920 is an abundant number, since it is smaller than the sum of its proper divisors (93843987480).

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

33275986920 is a wasteful number, since it uses less digits than its factorization.

33275986920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 33275986920 in words is "thirty-three billion, two hundred seventy-five million, nine hundred eighty-six thousand, nine hundred twenty".