86676053667840 has 2912 divisors, whose sum is σ = 387543193906176. Its totient is φ = 18110829035520.

The previous prime is 86676053667773. The next prime is 86676053667881. The reversal of 86676053667840 is 4876635067668.

86676053667840 is a `hidden beast` number, since 8 + 6 + 6 + 7 + 6 + 0 + 536 + 6 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 177979576077 + ... + 177979576563.

Almost surely, 2^{86676053667840} is an apocalyptic number.

86676053667840 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 86676053667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193771596953088).

86676053667840 is an abundant number, since it is smaller than the sum of its proper divisors (300867140238336).

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

86676053667840 is a wasteful number, since it uses less digits than its factorization.

86676053667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 86676053667840 in words is "eighty-six trillion, six hundred seventy-six billion, fifty-three million, six hundred sixty-seven thousand, eight hundred forty".