827089220160 has 672 divisors, whose sum is σ = 3400764059520. Its totient is φ = 188681342976.

The previous prime is 827089220147. The next prime is 827089220183. The reversal of 827089220160 is 61022980728.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259518087 + ... + 259521273.

Almost surely, 2^827089220160 is an apocalyptic number.

827089220160 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 827089220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700382029760).

827089220160 is an abundant number, since it is smaller than the sum of its proper divisors (2573674839360).

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

827089220160 is a wasteful number, since it uses less digits than its factorization.

827089220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 827089220160 in words is "eight hundred twenty-seven billion, eighty-nine million, two hundred twenty thousand, one hundred sixty".