42600380580 has 216 divisors, whose sum is σ = 143035277112. Its totient is φ = 10226608128.

The previous prime is 42600380549. The next prime is 42600380617. The reversal of 42600380580 is 8508300624.

42600380580 is a `hidden beast` number, since 42 + 6 + 0 + 0 + 38 + 0 + 580 = 666.

42600380580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11349919296 + 31250461284 = 106536^2 + 176778^2 .

It is a super-3 number, since 3×42600380580³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1605582 + ... + 1631898.

It is an arithmetic number, because the mean of its divisors is an integer number (662200357).

Almost surely, 2^42600380580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42600380580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71517638556).

42600380580 is an abundant number, since it is smaller than the sum of its proper divisors (100434896532).

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

42600380580 is a wasteful number, since it uses less digits than its factorization.

42600380580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26395 (or 26367 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 42600380580 in words is "forty-two billion, six hundred million, three hundred eighty thousand, five hundred eighty".