821480870970 has 96 divisors (see below), whose sum is σ = 2167225092864. Its totient is φ = 215864208000.

The previous prime is 821480870929. The next prime is 821480870971. The reversal of 821480870970 is 79078084128.

It is a happy number.

821480870970 is a `hidden beast` number, since 8 + 2 + 1 + 480 + 8 + 70 + 97 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (821480870971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1703839 + ... + 2132141.

It is an arithmetic number, because the mean of its divisors is an integer number (22575261384).

Almost surely, 2^821480870970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821480870970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083612546432).

821480870970 is an abundant number, since it is smaller than the sum of its proper divisors (1345744221894).

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

821480870970 is a wasteful number, since it uses less digits than its factorization.

821480870970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428628 (or 428625 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 821480870970 in words is "eight hundred twenty-one billion, four hundred eighty million, eight hundred seventy thousand, nine hundred seventy".