86027932167840 has 480 divisors, whose sum is σ = 328204656210816. Its totient is φ = 21095577999360.

The previous prime is 86027932167809. The next prime is 86027932167869. The reversal of 86027932167840 is 4876123972068.

86027932167840 is a `hidden beast` number, since 8 + 602 + 7 + 9 + 3 + 2 + 16 + 7 + 8 + 4 + 0 = 666.

86027932167840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×86027932167840² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43339495 + ... + 45280985.

Almost surely, 2^{86027932167840} is an apocalyptic number.

86027932167840 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 86027932167840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164102328105408).

86027932167840 is an abundant number, since it is smaller than the sum of its proper divisors (242176724042976).

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

86027932167840 is a wasteful number, since it uses less digits than its factorization.

86027932167840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941794 (or 1941777 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 86027932167840 in words is "eighty-six trillion, twenty-seven billion, nine hundred thirty-two million, one hundred sixty-seven thousand, eight hundred forty".