42586690164480 has 1728 divisors, whose sum is σ = 199036092423168. Its totient is φ = 8134829015040.

The previous prime is 42586690164467. The next prime is 42586690164511. The reversal of 42586690164480 is 8446109668524.

42586690164480 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 6 + 6 + 90 + 1 + 64 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 648393402 + ... + 648459078.

It is an arithmetic number, because the mean of its divisors is an integer number (115182923856).

Almost surely, 2^{42586690164480} is an apocalyptic number.

42586690164480 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 42586690164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99518046211584).

42586690164480 is an abundant number, since it is smaller than the sum of its proper divisors (156449402258688).

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

42586690164480 is a wasteful number, since it uses less digits than its factorization.

42586690164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65782 (or 65765 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 42586690164480 in words is "forty-two trillion, five hundred eighty-six billion, six hundred ninety million, one hundred sixty-four thousand, four hundred eighty".