42888605760 has 2688 divisors, whose sum is σ = 223669555200. Its totient is φ = 7524679680.

The previous prime is 42888605743. The next prime is 42888605797. The reversal of 42888605760 is 6750688824.

42888605760 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 8 + 60 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42888605697 and 42888605706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1478917426 + ... + 1478917454.

It is an arithmetic number, because the mean of its divisors is an integer number (83210400).

Almost surely, 2^42888605760 is an apocalyptic number.

42888605760 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 42888605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111834777600).

42888605760 is an abundant number, since it is smaller than the sum of its proper divisors (180780949440).

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

42888605760 is a wasteful number, since it uses less digits than its factorization.

42888605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 42888605760 in words is "forty-two billion, eight hundred eighty-eight million, six hundred five thousand, seven hundred sixty".