87496207360 has 176 divisors, whose sum is σ = 216731709216. Its totient is φ = 33872412672.

The previous prime is 87496207349. The next prime is 87496207369. The reversal of 87496207360 is 6370269478.

It is a junction number, because it is equal to n+sod(n) for n = 87496207298 and 87496207307.

It is not an unprimeable number, because it can be changed into a prime (87496207369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24876322 + ... + 24879838.

It is an arithmetic number, because the mean of its divisors is an integer number (1231430166).

Almost surely, 2^87496207360 is an apocalyptic number.

87496207360 is a gapful number since it is divisible by the number (80) 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 87496207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108365854608).

87496207360 is an abundant number, since it is smaller than the sum of its proper divisors (129235501856).

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

87496207360 is a wasteful number, since it uses less digits than its factorization.

87496207360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 87496207360 in words is "eighty-seven billion, four hundred ninety-six million, two hundred seven thousand, three hundred sixty".