86751455415768 has 384 divisors, whose sum is σ = 281950783994880. Its totient is φ = 23745585899520.

The previous prime is 86751455415767. The next prime is 86751455415773.

86751455415768 is a `hidden beast` number, since 8 + 6 + 7 + 5 + 1 + 4 + 5 + 5 + 41 + 576 + 8 = 666.

86751455415768 is nontrivially palindromic in base 10.

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 = 86751455415696 and 86751455415705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86751455415767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3480766555 + ... + 3480791477.

It is an arithmetic number, because the mean of its divisors is an integer number (734246833320).

Almost surely, 2^{86751455415768} is an apocalyptic number.

86751455415768 is a gapful number since it is divisible by the number (88) 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 86751455415768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140975391997440).

86751455415768 is an abundant number, since it is smaller than the sum of its proper divisors (195199328579112).

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

86751455415768 is a wasteful number, since it uses less digits than its factorization.

86751455415768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32199 (or 32192 counting only the distinct ones).

The product of its digits is 1128960000, while the sum is 72.

The spelling of 86751455415768 in words is "eighty-six trillion, seven hundred fifty-one billion, four hundred fifty-five million, four hundred fifteen thousand, seven hundred sixty-eight".