42683852880 has 240 divisors, whose sum is σ = 151925186880. Its totient is φ = 11014652160.

The previous prime is 42683852879. The next prime is 42683852899. The reversal of 42683852880 is 8825838624.

42683852880 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 38 + 528 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×42683852880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2065479 + ... + 2086041.

It is an arithmetic number, because the mean of its divisors is an integer number (633021612).

Almost surely, 2^42683852880 is an apocalyptic number.

42683852880 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 42683852880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75962593440).

42683852880 is an abundant number, since it is smaller than the sum of its proper divisors (109241334000).

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

42683852880 is a wasteful number, since it uses less digits than its factorization.

42683852880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20647 (or 20604 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 42683852880 in words is "forty-two billion, six hundred eighty-three million, eight hundred fifty-two thousand, eight hundred eighty".