42587633088 has 1120 divisors, whose sum is σ = 175965672960. Its totient is φ = 9823887360.

The previous prime is 42587633071. The next prime is 42587633111. The reversal of 42587633088 is 88033678524.

42587633088 is a `hidden beast` number, since 425 + 87 + 63 + 3 + 0 + 88 = 666.

It is a super-2 number, since 2×42587633088² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 150486195 + ... + 150486477.

It is an arithmetic number, because the mean of its divisors is an integer number (157112208).

Almost surely, 2^42587633088 is an apocalyptic number.

42587633088 is a gapful number since it is divisible by the number (48) 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 42587633088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87982836480).

42587633088 is an abundant number, since it is smaller than the sum of its proper divisors (133378039872).

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

42587633088 is a wasteful number, since it uses less digits than its factorization.

42587633088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 42587633088 in words is "forty-two billion, five hundred eighty-seven million, six hundred thirty-three thousand, eighty-eight".