87435058395360 has 576 divisors, whose sum is σ = 303639383678400. Its totient is φ = 21136063463424.

The previous prime is 87435058395341. The next prime is 87435058395383. The reversal of 87435058395360 is 6359385053478.

It is a junction number, because it is equal to n+sod(n) for n = 87435058395291 and 87435058395300.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 999111286 + ... + 999198794.

It is an arithmetic number, because the mean of its divisors is an integer number (527151707775).

Almost surely, 2^{87435058395360} is an apocalyptic number.

87435058395360 is a gapful number since it is divisible by the number (80) 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 87435058395360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151819691839200).

87435058395360 is an abundant number, since it is smaller than the sum of its proper divisors (216204325283040).

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

87435058395360 is a wasteful number, since it uses less digits than its factorization.

87435058395360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87775 (or 87754 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 66.

The spelling of 87435058395360 in words is "eighty-seven trillion, four hundred thirty-five billion, fifty-eight million, three hundred ninety-five thousand, three hundred sixty".