87409692216 has 256 divisors, whose sum is σ = 303398092800. Its totient is φ = 22652784000.

The previous prime is 87409692199. The next prime is 87409692239. The reversal of 87409692216 is 61229690478.

87409692216 is a `hidden beast` number, since 8 + 7 + 409 + 6 + 9 + 221 + 6 = 666.

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

It is a congruent number.

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, 7694941 + ... + 7706291.

It is an arithmetic number, because the mean of its divisors is an integer number (1185148800).

Almost surely, 2^87409692216 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 87409692216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151699046400).

87409692216 is an abundant number, since it is smaller than the sum of its proper divisors (215988400584).

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

87409692216 is a wasteful number, since it uses less digits than its factorization.

87409692216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11847 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 87409692216 in words is "eighty-seven billion, four hundred nine million, six hundred ninety-two thousand, two hundred sixteen".