87884933760 has 384 divisors, whose sum is σ = 335665708560. Its totient is φ = 21047869440.

The previous prime is 87884933737. The next prime is 87884933777. The reversal of 87884933760 is 6733948878.

87884933760 is a `hidden beast` number, since 8 + 7 + 88 + 493 + 3 + 7 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15773350464 + 72111583296 = 125592^2 + 268536^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2754700 + ... + 2786420.

Almost surely, 2^87884933760 is an apocalyptic number.

87884933760 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 87884933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167832854280).

87884933760 is an abundant number, since it is smaller than the sum of its proper divisors (247780774800).

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

87884933760 is a wasteful number, since it uses less digits than its factorization.

87884933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31796 (or 31781 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 87884933760 in words is "eighty-seven billion, eight hundred eighty-four million, nine hundred thirty-three thousand, seven hundred sixty".