42587883682560 has 1080 divisors, whose sum is σ = 162779322792240. Its totient is φ = 10628641898496.

The previous prime is 42587883682549. The next prime is 42587883682573. The reversal of 42587883682560 is 6528638878524.

42587883682560 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 7 + 8 + 8 + 368 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3106556986 + ... + 3106570694.

It is an arithmetic number, because the mean of its divisors is an integer number (150721595178).

Almost surely, 2^{42587883682560} is an apocalyptic number.

42587883682560 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 42587883682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81389661396120).

42587883682560 is an abundant number, since it is smaller than the sum of its proper divisors (120191439109680).

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

42587883682560 is a wasteful number, since it uses less digits than its factorization.

42587883682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13863 (or 13821 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 42587883682560 in words is "forty-two trillion, five hundred eighty-seven billion, eight hundred eighty-three million, six hundred eighty-two thousand, five hundred sixty".