86498660160 has 1344 divisors, whose sum is σ = 368931870720. Its totient is φ = 18977587200.

The previous prime is 86498660119. The next prime is 86498660221. The reversal of 86498660160 is 6106689468.

86498660160 is a `hidden beast` number, since 86 + 498 + 6 + 60 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86498660097 and 86498660106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 550946802 + ... + 550946958.

It is an arithmetic number, because the mean of its divisors is an integer number (274502880).

Almost surely, 2^86498660160 is an apocalyptic number.

86498660160 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 86498660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184465935360).

86498660160 is an abundant number, since it is smaller than the sum of its proper divisors (282433210560).

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

86498660160 is a wasteful number, since it uses less digits than its factorization.

86498660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 86498660160 in words is "eighty-six billion, four hundred ninety-eight million, six hundred sixty thousand, one hundred sixty".