87095761200 has 360 divisors, whose sum is σ = 346882037216. Its totient is φ = 19823616000.

The previous prime is 87095761199. The next prime is 87095761213. The reversal of 87095761200 is 216759078.

87095761200 is a `hidden beast` number, since 8 + 70 + 9 + 576 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6066030 + ... + 6080370.

Almost surely, 2^87095761200 is an apocalyptic number.

87095761200 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 87095761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173441018608).

87095761200 is an abundant number, since it is smaller than the sum of its proper divisors (259786276016).

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

87095761200 is a wasteful number, since it uses less digits than its factorization.

87095761200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14613 (or 14599 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 87095761200 in words is "eighty-seven billion, ninety-five million, seven hundred sixty-one thousand, two hundred".