830150562560 has 288 divisors, whose sum is σ = 2276359303680. Its totient is φ = 287114854400.

The previous prime is 830150562529. The next prime is 830150562613. The reversal of 830150562560 is 65265051038.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57960200 + ... + 57974520.

It is an arithmetic number, because the mean of its divisors is an integer number (7904025360).

Almost surely, 2^830150562560 is an apocalyptic number.

830150562560 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 830150562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138179651840).

830150562560 is an abundant number, since it is smaller than the sum of its proper divisors (1446208741120).

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

830150562560 is a wasteful number, since it uses less digits than its factorization.

830150562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14555 (or 14541 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 830150562560 in words is "eight hundred thirty billion, one hundred fifty million, five hundred sixty-two thousand, five hundred sixty".