42884795520 has 576 divisors, whose sum is σ = 175862606400. Its totient is φ = 9795520512.

The previous prime is 42884795507. The next prime is 42884795539. The reversal of 42884795520 is 2559748824.

42884795520 is a `hidden beast` number, since 4 + 2 + 8 + 84 + 7 + 9 + 552 + 0 = 666.

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

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29392551 + ... + 29394009.

It is an arithmetic number, because the mean of its divisors is an integer number (305317025).

Almost surely, 2^42884795520 is an apocalyptic number.

42884795520 is a gapful number since it is divisible by the number (40) 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 42884795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87931303200).

42884795520 is an abundant number, since it is smaller than the sum of its proper divisors (132977810880).

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

42884795520 is an frugal number, since it uses more digits than its factorization.

42884795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 42884795520 in words is "forty-two billion, eight hundred eighty-four million, seven hundred ninety-five thousand, five hundred twenty".