86633375906880 has 1008 divisors, whose sum is σ = 348123445138560. Its totient is φ = 19703333928960.

The previous prime is 86633375906873. The next prime is 86633375906881. The reversal of 86633375906880 is 8860957333668.

86633375906880 is a `hidden beast` number, since 8 + 6 + 6 + 33 + 375 + 90 + 68 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 86633375906799 and 86633375906808.

It is not an unprimeable number, because it can be changed into a prime (86633375906881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 681911844 + ... + 682038876.

Almost surely, 2^{86633375906880} is an apocalyptic number.

86633375906880 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 86633375906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174061722569280).

86633375906880 is an abundant number, since it is smaller than the sum of its proper divisors (261490069231680).

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

86633375906880 is a wasteful number, since it uses less digits than its factorization.

86633375906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127200 (or 127176 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 86633375906880 in words is "eighty-six trillion, six hundred thirty-three billion, three hundred seventy-five million, nine hundred six thousand, eight hundred eighty".