87563103154800 has 1440 divisors, whose sum is σ = 371573961744384. Its totient is φ = 17442625536000.

The previous prime is 87563103154777. The next prime is 87563103154819. The reversal of 87563103154800 is 845130136578.

It is a congruent number.

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, 971507337 + ... + 971597463.

Almost surely, 2^{87563103154800} is an apocalyptic number.

87563103154800 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 87563103154800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185786980872192).

87563103154800 is an abundant number, since it is smaller than the sum of its proper divisors (284010858589584).

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

87563103154800 is a wasteful number, since it uses less digits than its factorization.

87563103154800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90247 (or 90229 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 87563103154800 in words is "eighty-seven trillion, five hundred sixty-three billion, one hundred three million, one hundred fifty-four thousand, eight hundred".