87102875059200 has 6336 divisors, whose sum is σ = 447158999992320. Its totient is φ = 16044687360000.

The previous prime is 87102875059139. The next prime is 87102875059201. The reversal of 87102875059200 is 295057820178.

87102875059200 is a `hidden beast` number, since 8 + 7 + 102 + 8 + 7 + 505 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

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

It is not an unprimeable number, because it can be changed into a prime (87102875059201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 664907443135 + ... + 664907443265.

It is an arithmetic number, because the mean of its divisors is an integer number (70574337120).

Almost surely, 2^{87102875059200} is an apocalyptic number.

87102875059200 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 87102875059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223579499996160).

87102875059200 is an abundant number, since it is smaller than the sum of its proper divisors (360056124933120).

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

87102875059200 is a wasteful number, since it uses less digits than its factorization.

87102875059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 87102875059200 in words is "eighty-seven trillion, one hundred two billion, eight hundred seventy-five million, fifty-nine thousand, two hundred".