42589568286720 has 1440 divisors, whose sum is σ = 183503890332672. Its totient is φ = 8897244954624.

The previous prime is 42589568286709. The next prime is 42589568286743. The reversal of 42589568286720 is 2768286598524.

42589568286720 is a `hidden beast` number, since 4 + 2 + 58 + 9 + 568 + 2 + 8 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×42589568286720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6910522359 + ... + 6910528521.

Almost surely, 2^{42589568286720} is an apocalyptic number.

42589568286720 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 42589568286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91751945166336).

42589568286720 is an abundant number, since it is smaller than the sum of its proper divisors (140914322045952).

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

42589568286720 is a wasteful number, since it uses less digits than its factorization.

42589568286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6296 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 42589568286720 in words is "forty-two trillion, five hundred eighty-nine billion, five hundred sixty-eight million, two hundred eighty-six thousand, seven hundred twenty".