820127919104 has 88 divisors (see below), whose sum is σ = 1771252855008. Its totient is φ = 377301565440.

The previous prime is 820127919103. The next prime is 820127919109. The reversal of 820127919104 is 401919721028.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (820127919103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4040984 + ... + 4239080.

Almost surely, 2^820127919104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820127919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885626427504).

820127919104 is an abundant number, since it is smaller than the sum of its proper divisors (951124935904).

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

820127919104 is a wasteful number, since it uses less digits than its factorization.

820127919104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198441 (or 198423 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 44.

The spelling of 820127919104 in words is "eight hundred twenty billion, one hundred twenty-seven million, nine hundred nineteen thousand, one hundred four".