33775142820 has 96 divisors (see below), whose sum is σ = 97084528128. Its totient is φ = 8769257472.

The previous prime is 33775142801. The next prime is 33775142831. The reversal of 33775142820 is 2824157733.

It is a happy number.

It is a super-2 number, since 2×33775142820² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513232 + ... + 575288.

It is an arithmetic number, because the mean of its divisors is an integer number (1011297168).

Almost surely, 2^33775142820 is an apocalyptic number.

33775142820 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 33775142820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48542264064).

33775142820 is an abundant number, since it is smaller than the sum of its proper divisors (63309385308).

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

33775142820 is a wasteful number, since it uses less digits than its factorization.

33775142820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62309 (or 62307 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 33775142820 in words is "thirty-three billion, seven hundred seventy-five million, one hundred forty-two thousand, eight hundred twenty".