33825315780990 has 128 divisors (see below), whose sum is σ = 91130823590400. Its totient is φ = 8927545351680.

The previous prime is 33825315780959. The next prime is 33825315781001. The reversal of 33825315780990 is 9908751352833.

33825315780990 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 53 + 1 + 578 + 0 + 9 + 9 + 0 = 666.

It is a super-2 number, since 2×33825315780990² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9011841 + ... + 12200979.

It is an arithmetic number, because the mean of its divisors is an integer number (711959559300).

Almost surely, 2^{33825315780990} is an apocalyptic number.

33825315780990 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 33825315780990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45565411795200).

33825315780990 is an abundant number, since it is smaller than the sum of its proper divisors (57305507809410).

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

33825315780990 is a wasteful number, since it uses less digits than its factorization.

33825315780990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189559 (or 3189553 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 33825315780990 in words is "thirty-three trillion, eight hundred twenty-five billion, three hundred fifteen million, seven hundred eighty thousand, nine hundred ninety".