87347259417600 has 3168 divisors, whose sum is σ = 414679282827264. Its totient is φ = 17056471449600.

The previous prime is 87347259417581. The next prime is 87347259417611. The reversal of 87347259417600 is 671495274378.

87347259417600 is a `hidden beast` number, since 8 + 7 + 3 + 4 + 7 + 2 + 5 + 9 + 4 + 17 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14949040279 + ... + 14949046121.

It is a 2-persistent number, because it is pandigital, and so is 2⋅87347259417600 = 174694518835200, but 3⋅87347259417600 = 262041778252800 is not.

Almost surely, 2^{87347259417600} is an apocalyptic number.

87347259417600 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 87347259417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207339641413632).

87347259417600 is an abundant number, since it is smaller than the sum of its proper divisors (327332023409664).

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

87347259417600 is a wasteful number, since it uses less digits than its factorization.

87347259417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5953 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 87347259417600 in words is "eighty-seven trillion, three hundred forty-seven billion, two hundred fifty-nine million, four hundred seventeen thousand, six hundred".