86782839091200 has 4680 divisors, whose sum is σ = 399294835236000. Its totient is φ = 18540810731520.

The previous prime is 86782839091141. The next prime is 86782839091213. The reversal of 86782839091200 is 219093828768.

86782839091200 is a `hidden beast` number, since 8 + 67 + 8 + 283 + 9 + 0 + 91 + 200 = 666.

It is a super-2 number, since 2×86782839091200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 436094668701 + ... + 436094668899.

Almost surely, 2^{86782839091200} is an apocalyptic number.

86782839091200 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 86782839091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199647417618000).

86782839091200 is an abundant number, since it is smaller than the sum of its proper divisors (312511996144800).

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

86782839091200 is a wasteful number, since it uses less digits than its factorization.

86782839091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 86782839091200 in words is "eighty-six trillion, seven hundred eighty-two billion, eight hundred thirty-nine million, ninety-one thousand, two hundred".