87353960760 has 864 divisors, whose sum is σ = 345106878480. Its totient is φ = 19853475840.

The previous prime is 87353960719. The next prime is 87353960789. The reversal of 87353960760 is 6706935378.

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

It is a junction number, because it is equal to n+sod(n) for n = 87353960697 and 87353960706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 339898552 + ... + 339898808.

Almost surely, 2^87353960760 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 87353960760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172553439240).

87353960760 is an abundant number, since it is smaller than the sum of its proper divisors (257752917720).

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

87353960760 is a wasteful number, since it uses less digits than its factorization.

87353960760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 87353960760 in words is "eighty-seven billion, three hundred fifty-three million, nine hundred sixty thousand, seven hundred sixty".