87846475584 has 336 divisors, whose sum is σ = 275698183680. Its totient is φ = 24609070080.

The previous prime is 87846475583. The next prime is 87846475753. The reversal of 87846475584 is 48557464878.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87846475583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231784707 + ... + 231785085.

Almost surely, 2^87846475584 is an apocalyptic number.

87846475584 is a gapful number since it is divisible by the number (84) 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 87846475584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137849091840).

87846475584 is an abundant number, since it is smaller than the sum of its proper divisors (187851708096).

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

87846475584 is a wasteful number, since it uses less digits than its factorization.

87846475584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 809 counting only the distinct ones).

The product of its digits is 240844800, while the sum is 66.

The spelling of 87846475584 in words is "eighty-seven billion, eight hundred forty-six million, four hundred seventy-five thousand, five hundred eighty-four".