42875936573184 has 864 divisors, whose sum is σ = 149224908268800. Its totient is φ = 11667933757440.

The previous prime is 42875936573159. The next prime is 42875936573231. The reversal of 42875936573184 is 48137563957824.

42875936573184 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 5 + 9 + 36 + 573 + 18 + 4 = 666.

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

It is a congruent number.

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, 1885556887 + ... + 1885579625.

It is an arithmetic number, because the mean of its divisors is an integer number (172714014200).

Almost surely, 2^{42875936573184} is an apocalyptic number.

42875936573184 is a gapful number since it is divisible by the number (44) 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 42875936573184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74612454134400).

42875936573184 is an abundant number, since it is smaller than the sum of its proper divisors (106348971695616).

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

42875936573184 is a wasteful number, since it uses less digits than its factorization.

42875936573184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22941 (or 22924 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 42875936573184 in words is "forty-two trillion, eight hundred seventy-five billion, nine hundred thirty-six million, five hundred seventy-three thousand, one hundred eighty-four".