42578578920 has 128 divisors (see below), whose sum is σ = 129202128000. Its totient is φ = 11224611840.

The previous prime is 42578578901. The next prime is 42578579009. The reversal of 42578578920 is 2987587524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223646 + ... + 4233714.

It is an arithmetic number, because the mean of its divisors is an integer number (1009391625).

Almost surely, 2^42578578920 is an apocalyptic number.

42578578920 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 42578578920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64601064000).

42578578920 is an abundant number, since it is smaller than the sum of its proper divisors (86623549080).

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

42578578920 is a wasteful number, since it uses less digits than its factorization.

42578578920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483 (or 10479 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 42578578920 in words is "forty-two billion, five hundred seventy-eight million, five hundred seventy-eight thousand, nine hundred twenty".