820125827000 has 32 divisors (see below), whose sum is σ = 1919094437520. Its totient is φ = 328050330400.

The previous prime is 820125826997. The next prime is 820125827033. The reversal of 820125827000 is 728521028.

It is a super-2 number, since 2×820125827000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410061914 + ... + 410063913.

Almost surely, 2^820125827000 is an apocalyptic number.

It is an amenable number.

820125827000 is an abundant number, since it is smaller than the sum of its proper divisors (1098968610520).

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

820125827000 is a wasteful number, since it uses less digits than its factorization.

820125827000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820125848 (or 820125834 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The spelling of 820125827000 in words is "eight hundred twenty billion, one hundred twenty-five million, eight hundred twenty-seven thousand".