87355293696 has 600 divisors, whose sum is σ = 303744914550. Its totient is φ = 24914165760.

The previous prime is 87355293691. The next prime is 87355293709. The reversal of 87355293696 is 69639255378.

87355293696 is a `hidden beast` number, since 8 + 73 + 5 + 529 + 36 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64231833600 + 23123460096 = 253440^2 + 152064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87355293691) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5138546680 + ... + 5138546696.

Almost surely, 2^87355293696 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 87355293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151872457275).

87355293696 is an abundant number, since it is smaller than the sum of its proper divisors (216389620854).

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

87355293696 is an frugal number, since it uses more digits than its factorization.

87355293696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 33 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 87355293696 in words is "eighty-seven billion, three hundred fifty-five million, two hundred ninety-three thousand, six hundred ninety-six".