87369319065600 has 3456 divisors, whose sum is σ = 382588766501760. Its totient is φ = 18770558976000.

The previous prime is 87369319065583. The next prime is 87369319065683. The reversal of 87369319065600 is 656091396378.

87369319065600 is a `hidden beast` number, since 8 + 7 + 3 + 6 + 9 + 3 + 19 + 0 + 6 + 5 + 600 = 666.

It is a super-3 number, since 3×87369319065600³ (a number of 43 digits) contains 333 as substring.

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, 197221938979 + ... + 197221939421.

It is an arithmetic number, because the mean of its divisors is an integer number (110702768085).

Almost surely, 2^{87369319065600} is an apocalyptic number.

87369319065600 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 87369319065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191294383250880).

87369319065600 is an abundant number, since it is smaller than the sum of its proper divisors (295219447436160).

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

87369319065600 is a wasteful number, since it uses less digits than its factorization.

87369319065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 87369319065600 in words is "eighty-seven trillion, three hundred sixty-nine billion, three hundred nineteen million, sixty-five thousand, six hundred".