87449276783088 has 360 divisors, whose sum is σ = 274558604902400. Its totient is φ = 25958270257920.

The previous prime is 87449276783087. The next prime is 87449276783093. The reversal of 87449276783088 is 88038767294478.

It is a happy number.

87449276783088 is a `hidden beast` number, since 8 + 7 + 449 + 2 + 7 + 67 + 8 + 30 + 88 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87449276782998 and 87449276783016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87449276783083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174564873 + ... + 175065111.

Almost surely, 2^{87449276783088} is an apocalyptic number.

87449276783088 is a gapful number since it is divisible by the number (88) 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 87449276783088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137279302451200).

87449276783088 is an abundant number, since it is smaller than the sum of its proper divisors (187109328119312).

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

87449276783088 is a wasteful number, since it uses less digits than its factorization.

87449276783088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500481 (or 500461 counting only the distinct ones).

The product of its (nonzero) digits is 7283146752, while the sum is 81.

The spelling of 87449276783088 in words is "eighty-seven trillion, four hundred forty-nine billion, two hundred seventy-six million, seven hundred eighty-three thousand, eighty-eight".