335225882880 has 576 divisors, whose sum is σ = 1431100876800. Its totient is φ = 72589271040.

The previous prime is 335225882863. The next prime is 335225882903. The reversal of 335225882880 is 88288522533.

335225882880 is a `hidden beast` number, since 3 + 3 + 52 + 2 + 588 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×335225882880² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4560015 + ... + 4632945.

Almost surely, 2^335225882880 is an apocalyptic number.

335225882880 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 335225882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715550438400).

335225882880 is an abundant number, since it is smaller than the sum of its proper divisors (1095874993920).

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

335225882880 is a wasteful number, since it uses less digits than its factorization.

335225882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72987 (or 72967 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 335225882880 in words is "three hundred thirty-five billion, two hundred twenty-five million, eight hundred eighty-two thousand, eight hundred eighty".