87217842096 has 320 divisors, whose sum is σ = 318768168960. Its totient is φ = 22171587840.

The previous prime is 87217842077. The next prime is 87217842119. The reversal of 87217842096 is 69024871278.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1535515 + ... + 1591301.

It is an arithmetic number, because the mean of its divisors is an integer number (996150528).

Almost surely, 2^87217842096 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 87217842096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159384084480).

87217842096 is an abundant number, since it is smaller than the sum of its proper divisors (231550326864).

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

87217842096 is a wasteful number, since it uses less digits than its factorization.

87217842096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55869 (or 55857 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 87217842096 in words is "eighty-seven billion, two hundred seventeen million, eight hundred forty-two thousand, ninety-six".