86677763268096 has 4320 divisors, whose sum is σ = 366586780944384. Its totient is φ = 19983399321600.

The previous prime is 86677763268077. The next prime is 86677763268119. The reversal of 86677763268096 is 69086236777668.

86677763268096 is a `hidden beast` number, since 8 + 6 + 67 + 7 + 76 + 326 + 80 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 552087664050 + ... + 552087664206.

Almost surely, 2^{86677763268096} 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 86677763268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183293390472192).

86677763268096 is an abundant number, since it is smaller than the sum of its proper divisors (279909017676288).

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

86677763268096 is a wasteful number, since it uses less digits than its factorization.

86677763268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 9217732608, while the sum is 81.

The spelling of 86677763268096 in words is "eighty-six trillion, six hundred seventy-seven billion, seven hundred sixty-three million, two hundred sixty-eight thousand, ninety-six".