33882226560 has 1024 divisors, whose sum is σ = 152990208000. Its totient is φ = 6892978176.

The previous prime is 33882226559. The next prime is 33882226661. The reversal of 33882226560 is 6562228833.

33882226560 is a `hidden beast` number, since 3 + 3 + 8 + 82 + 2 + 2 + 6 + 560 = 666.

It is a super-2 number, since 2×33882226560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45601549 + ... + 45602291.

It is an arithmetic number, because the mean of its divisors is an integer number (149404500).

Almost surely, 2^33882226560 is an apocalyptic number.

33882226560 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 33882226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76495104000).

33882226560 is an abundant number, since it is smaller than the sum of its proper divisors (119107981440).

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

33882226560 is a wasteful number, since it uses less digits than its factorization.

33882226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 33882226560 in words is "thirty-three billion, eight hundred eighty-two million, two hundred twenty-six thousand, five hundred sixty".