87461956600200 has 864 divisors, whose sum is σ = 368199769097160. Its totient is φ = 18441735782400.

The previous prime is 87461956600159. The next prime is 87461956600219. The reversal of 87461956600200 is 200665916478.

87461956600200 is a `hidden beast` number, since 8 + 7 + 4 + 6 + 1 + 9 + 5 + 6 + 600 + 20 + 0 = 666.

87461956600200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 671380306884 + 86790576293316 = 819378^2 + 9316146^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1858615072 + ... + 1858662128.

Almost surely, 2^{87461956600200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87461956600200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184099884548580).

87461956600200 is an abundant number, since it is smaller than the sum of its proper divisors (280737812496960).

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

87461956600200 is a wasteful number, since it uses less digits than its factorization.

87461956600200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48727 (or 48708 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 87461956600200 in words is "eighty-seven trillion, four hundred sixty-one billion, nine hundred fifty-six million, six hundred thousand, two hundred".