86730635779200 has 768 divisors, whose sum is σ = 364474076928000. Its totient is φ = 19730162995200.

The previous prime is 86730635779153. The next prime is 86730635779213. The reversal of 86730635779200 is 297753603768.

86730635779200 is a `hidden beast` number, since 8 + 6 + 7 + 3 + 0 + 6 + 357 + 79 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127272981 + ... + 127952619.

It is an arithmetic number, because the mean of its divisors is an integer number (474575621000).

Almost surely, 2^{86730635779200} is an apocalyptic number.

86730635779200 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 86730635779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182237038464000).

86730635779200 is an abundant number, since it is smaller than the sum of its proper divisors (277743441148800).

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

86730635779200 is a wasteful number, since it uses less digits than its factorization.

86730635779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679890 (or 679867 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

It can be divided in two parts, 86730635 and 779200, that added together give a triangular number (87509835 = T₁₃₂₂₉).

The spelling of 86730635779200 in words is "eighty-six trillion, seven hundred thirty billion, six hundred thirty-five million, seven hundred seventy-nine thousand, two hundred".