86026375680000 has 3120 divisors, whose sum is σ = 358221105052800. Its totient is φ = 18342739968000.

The previous prime is 86026375679999. The next prime is 86026375680029. The reversal of 86026375680000 is 8657362068.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 761295359944 + ... + 761295360056.

Almost surely, 2^{86026375680000} is an apocalyptic number.

86026375680000 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 86026375680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179110552526400).

86026375680000 is an abundant number, since it is smaller than the sum of its proper divisors (272194729372800).

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

86026375680000 is an equidigital number, since it uses as much as digits as its factorization.

86026375680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 86026375680000 in words is "eighty-six trillion, twenty-six billion, three hundred seventy-five million, six hundred eighty thousand".