42578952192 has 540 divisors, whose sum is σ = 146847538656. Its totient is φ = 11849564160.

The previous prime is 42578952187. The next prime is 42578952211. The reversal of 42578952192 is 29125987524.

42578952192 is a `hidden beast` number, since 4 + 2 + 578 + 9 + 52 + 19 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 512999383 + ... + 512999465.

Almost surely, 2^42578952192 is an apocalyptic number.

42578952192 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 42578952192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73423769328).

42578952192 is an abundant number, since it is smaller than the sum of its proper divisors (104268586464).

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

42578952192 is an equidigital number, since it uses as much as digits as its factorization.

42578952192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 166 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 42578952192 in words is "forty-two billion, five hundred seventy-eight million, nine hundred fifty-two thousand, one hundred ninety-two".