830029022550 has 384 divisors, whose sum is σ = 2819219558400. Its totient is φ = 174864821760.

The previous prime is 830029022539. The next prime is 830029022561. The reversal of 830029022550 is 55220920038.

830029022550 is a `hidden beast` number, since 83 + 0 + 0 + 2 + 9 + 0 + 22 + 550 = 666.

It is an interprime number because it is at equal distance from previous prime (830029022539) and next prime (830029022561).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88324452 + ... + 88333848.

It is an arithmetic number, because the mean of its divisors is an integer number (7341717600).

Almost surely, 2^830029022550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830029022550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409609779200).

830029022550 is an abundant number, since it is smaller than the sum of its proper divisors (1989190535850).

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

830029022550 is a wasteful number, since it uses less digits than its factorization.

830029022550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10157 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 830029022550 its reverse (55220920038), we get a palindrome (885249942588).

The spelling of 830029022550 in words is "eight hundred thirty billion, twenty-nine million, twenty-two thousand, five hundred fifty".