87786547200 has 1152 divisors, whose sum is σ = 368526412800. Its totient is φ = 20275200000.

The previous prime is 87786547183. The next prime is 87786547217. The reversal of 87786547200 is 274568778.

It is a happy number.

87786547200 is a `hidden beast` number, since 8 + 7 + 78 + 6 + 547 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87786547183) and next prime (87786547217).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 349747075 + ... + 349747325.

It is an arithmetic number, because the mean of its divisors is an integer number (319901400).

Almost surely, 2^87786547200 is an apocalyptic number.

87786547200 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 87786547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184263206400).

87786547200 is an abundant number, since it is smaller than the sum of its proper divisors (280739865600).

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

87786547200 is a wasteful number, since it uses less digits than its factorization.

87786547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 87786547200 in words is "eighty-seven billion, seven hundred eighty-six million, five hundred forty-seven thousand, two hundred".