42864860475360 has 576 divisors, whose sum is σ = 182411063976960. Its totient is φ = 8905002762240.

The previous prime is 42864860475343. The next prime is 42864860475361. The reversal of 42864860475360 is 6357406846824.

42864860475360 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 48 + 60 + 475 + 3 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42864860475361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 527637304 + ... + 527718536.

It is an arithmetic number, because the mean of its divisors is an integer number (316685874960).

Almost surely, 2^{42864860475360} is an apocalyptic number.

42864860475360 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 42864860475360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91205531988480).

42864860475360 is an abundant number, since it is smaller than the sum of its proper divisors (139546203501600).

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

42864860475360 is a wasteful number, since it uses less digits than its factorization.

42864860475360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86031 (or 86020 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 42864860475360 in words is "forty-two trillion, eight hundred sixty-four billion, eight hundred sixty million, four hundred seventy-five thousand, three hundred sixty".