86298266880 has 1458 divisors, whose sum is σ = 385703753526. Its totient is φ = 17757831168.

The previous prime is 86298266861. The next prime is 86298266921. The reversal of 86298266880 is 8866289268.

86298266880 is a `hidden beast` number, since 8 + 6 + 298 + 266 + 8 + 80 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28905440256 + 57392826624 = 170016^2 + 239568^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3752098549 + ... + 3752098571.

Almost surely, 2^86298266880 is an apocalyptic number.

86298266880 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 86298266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192851876763).

86298266880 is an abundant number, since it is smaller than the sum of its proper divisors (299405486646).

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

86298266880 is a wasteful number, since it uses less digits than its factorization.

86298266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 86298266880 in words is "eighty-six billion, two hundred ninety-eight million, two hundred sixty-six thousand, eight hundred eighty".