65812098512160 has 5376 divisors, whose sum is σ = 336792246755328. Its totient is φ = 11688335769600.

The previous prime is 65812098512159. The next prime is 65812098512179. The reversal of 65812098512160 is 6121589021856.

65812098512160 is a `hidden beast` number, since 6 + 5 + 8 + 1 + 20 + 98 + 512 + 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 = 65812098512097 and 65812098512106.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 140925264247 + ... + 140925264713.

It is an arithmetic number, because the mean of its divisors is an integer number (62647367328).

Almost surely, 2^{65812098512160} is an apocalyptic number.

65812098512160 is a gapful number since it is divisible by the number (60) 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 65812098512160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168396123377664).

65812098512160 is an abundant number, since it is smaller than the sum of its proper divisors (270980148243168).

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

65812098512160 is a wasteful number, since it uses less digits than its factorization.

65812098512160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 65812098512160 in words is "sixty-five trillion, eight hundred twelve billion, ninety-eight million, five hundred twelve thousand, one hundred sixty".