87805311425856 has 224 divisors, whose sum is σ = 275467655393280. Its totient is φ = 27329859551232.

The previous prime is 87805311425803. The next prime is 87805311425857. The reversal of 87805311425856 is 65852411350878.

It is a happy number.

87805311425856 is a `hidden beast` number, since 8 + 7 + 8 + 0 + 5 + 3 + 1 + 1 + 42 + 585 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87805311425793 and 87805311425802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87805311425857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8037025 + ... + 15498528.

It is an arithmetic number, because the mean of its divisors is an integer number (1229766318720).

Almost surely, 2^{87805311425856} is an apocalyptic number.

It is an amenable number.

87805311425856 is an abundant number, since it is smaller than the sum of its proper divisors (187662343967424).

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

87805311425856 is a wasteful number, since it uses less digits than its factorization.

87805311425856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23535718 (or 23535702 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 87805311425856 in words is "eighty-seven trillion, eight hundred five billion, three hundred eleven million, four hundred twenty-five thousand, eight hundred fifty-six".