42859900160000 has 2880 divisors, whose sum is σ = 147634412365440. Its totient is φ = 12262440960000.

The previous prime is 42859900159961. The next prime is 42859900160159. The reversal of 42859900160000 is 6100995824.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 587121919964 + ... + 587121920036.

It is an arithmetic number, because the mean of its divisors is an integer number (51261948738).

Almost surely, 2^{42859900160000} is an apocalyptic number.

42859900160000 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 42859900160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73817206182720).

42859900160000 is an abundant number, since it is smaller than the sum of its proper divisors (104774512205440).

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

42859900160000 is a wasteful number, since it uses less digits than its factorization.

42859900160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 42859900160000 in words is "forty-two trillion, eight hundred fifty-nine billion, nine hundred million, one hundred sixty thousand".