86670556673778 has 192 divisors, whose sum is σ = 248296823394048. Its totient is φ = 21153264168960.

The previous prime is 86670556673759. The next prime is 86670556673797. The reversal of 86670556673778 is 87737665507668.

86670556673778 is a `hidden beast` number, since 86 + 67 + 0 + 5 + 56 + 67 + 377 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (86670556673759) and next prime (86670556673797).

It is a super-2 number, since 2×86670556673778² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86670556673697 and 86670556673706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11556876 + ... + 17518632.

It is an arithmetic number, because the mean of its divisors is an integer number (1293212621844).

Almost surely, 2^{86670556673778} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86670556673778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124148411697024).

86670556673778 is an abundant number, since it is smaller than the sum of its proper divisors (161626266720270).

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

86670556673778 is a wasteful number, since it uses less digits than its factorization.

86670556673778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962417 (or 5962414 counting only the distinct ones).

The product of its (nonzero) digits is 14936140800, while the sum is 81.

The spelling of 86670556673778 in words is "eighty-six trillion, six hundred seventy billion, five hundred fifty-six million, six hundred seventy-three thousand, seven hundred seventy-eight".