42888852000 has 480 divisors, whose sum is σ = 165725239680. Its totient is φ = 10833523200.

The previous prime is 42888851989. The next prime is 42888852023. The reversal of 42888852000 is 25888824.

42888852000 is a `hidden beast` number, since 42 + 8 + 8 + 88 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6152517 + ... + 6159483.

It is an arithmetic number, because the mean of its divisors is an integer number (345260916).

Almost surely, 2^42888852000 is an apocalyptic number.

42888852000 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 42888852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82862619840).

42888852000 is an abundant number, since it is smaller than the sum of its proper divisors (122836387680).

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

42888852000 is a wasteful number, since it uses less digits than its factorization.

42888852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7023 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 42888852000 in words is "forty-two billion, eight hundred eighty-eight million, eight hundred fifty-two thousand".