830126218521600 has 15840 divisors, whose sum is σ = 4611636776355840. Its totient is φ = 144473849856000.

The previous prime is 830126218521563. The next prime is 830126218521629. The reversal of 830126218521600 is 6125812621038.

830126218521600 is a `hidden beast` number, since 8 + 3 + 0 + 1 + 2 + 6 + 2 + 18 + 5 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (15840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 8558002252752 + ... + 8558002252848.

It is an arithmetic number, because the mean of its divisors is an integer number (291138685376).

Almost surely, 2^{830126218521600} is an apocalyptic number.

830126218521600 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 830126218521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305818388177920).

830126218521600 is an abundant number, since it is smaller than the sum of its proper divisors (3781510557834240).

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

830126218521600 is a wasteful number, since it uses less digits than its factorization.

830126218521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 8301262 and 18521600, that added together give a palindrome (26822862).

The spelling of 830126218521600 in words is "eight hundred thirty trillion, one hundred twenty-six billion, two hundred eighteen million, five hundred twenty-one thousand, six hundred".