87350405216256 has 3456 divisors, whose sum is σ = 364104095846400. Its totient is φ = 19851777146880.

The previous prime is 87350405216227. The next prime is 87350405216257. The reversal of 87350405216256 is 65261250405378.

87350405216256 is a `hidden beast` number, since 8 + 7 + 3 + 5 + 0 + 4 + 0 + 5 + 2 + 1 + 625 + 6 = 666.

It is a super-3 number, since 3×87350405216256³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87350405216257) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 117564475021 + ... + 117564475763.

It is an arithmetic number, because the mean of its divisors is an integer number (105354194400).

Almost surely, 2^{87350405216256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87350405216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182052047923200).

87350405216256 is an abundant number, since it is smaller than the sum of its proper divisors (276753690630144).

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

87350405216256 is a wasteful number, since it uses less digits than its factorization.

87350405216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 87350405216256 in words is "eighty-seven trillion, three hundred fifty billion, four hundred five million, two hundred sixteen thousand, two hundred fifty-six".