86771416898880 has 2016 divisors, whose sum is σ = 370771544033280. Its totient is φ = 18923494440960.

The previous prime is 86771416898861. The next prime is 86771416898963. The reversal of 86771416898880 is 8889861417768.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×86771416898880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 86771416898880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33258495016 + ... + 33258497624.

Almost surely, 2^{86771416898880} is an apocalyptic number.

86771416898880 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 86771416898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185385772016640).

86771416898880 is an abundant number, since it is smaller than the sum of its proper divisors (284000127134400).

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

86771416898880 is an equidigital number, since it uses as much as digits as its factorization.

86771416898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 2080899072, while the sum is 81.

The spelling of 86771416898880 in words is "eighty-six trillion, seven hundred seventy-one billion, four hundred sixteen million, eight hundred ninety-eight thousand, eight hundred eighty".