42853672512 has 448 divisors, whose sum is σ = 152481280000. Its totient is φ = 11528884224.

The previous prime is 42853672483. The next prime is 42853672541. The reversal of 42853672512 is 21527635824.

42853672512 is a `hidden beast` number, since 4 + 28 + 53 + 67 + 2 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (42853672483) and next prime (42853672541).

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45734508 + ... + 45735444.

It is an arithmetic number, because the mean of its divisors is an integer number (340360000).

Almost surely, 2^42853672512 is an apocalyptic number.

42853672512 is a gapful number since it is divisible by the number (42) 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 42853672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76240640000).

42853672512 is an abundant number, since it is smaller than the sum of its proper divisors (109627607488).

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

42853672512 is a wasteful number, since it uses less digits than its factorization.

42853672512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1167 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 42853672512 in words is "forty-two billion, eight hundred fifty-three million, six hundred seventy-two thousand, five hundred twelve".