165863610360 has 1536 divisors, whose sum is σ = 718626816000. Its totient is φ = 33798352896.

The previous prime is 165863610299. The next prime is 165863610379. The reversal of 165863610360 is 63016368561.

165863610360 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 636 + 1 + 0 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1306012617 + ... + 1306012743.

It is an arithmetic number, because the mean of its divisors is an integer number (467856000).

Almost surely, 2^165863610360 is an apocalyptic number.

165863610360 is a gapful number since it is divisible by the number (10) 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 165863610360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359313408000).

165863610360 is an abundant number, since it is smaller than the sum of its proper divisors (552763205640).

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

165863610360 is a wasteful number, since it uses less digits than its factorization.

165863610360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 165863610360 in words is "one hundred sixty-five billion, eight hundred sixty-three million, six hundred ten thousand, three hundred sixty".