87141646087200 has 1440 divisors, whose sum is σ = 344724844197888. Its totient is φ = 21340827648000.

The previous prime is 87141646087193. The next prime is 87141646087253. The reversal of 87141646087200 is 278064614178.

87141646087200 is a `hidden beast` number, since 8 + 7 + 1 + 4 + 1 + 6 + 4 + 608 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8534090095 + ... + 8534100305.

Almost surely, 2^{87141646087200} is an apocalyptic number.

87141646087200 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 87141646087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172362422098944).

87141646087200 is an abundant number, since it is smaller than the sum of its proper divisors (257583198110688).

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

87141646087200 is a wasteful number, since it uses less digits than its factorization.

87141646087200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10448 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 87141646087200 in words is "eighty-seven trillion, one hundred forty-one billion, six hundred forty-six million, eighty-seven thousand, two hundred".