830269222272000 has 3520 divisors, whose sum is σ = 3815218242291456. Its totient is φ = 175228688793600.

The previous prime is 830269222271977. The next prime is 830269222272011. The reversal of 830269222272000 is 272222962038.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 65390969652 + ... + 65390982348.

Almost surely, 2^{830269222272000} is an apocalyptic number.

830269222272000 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 830269222272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907609121145728).

830269222272000 is an abundant number, since it is smaller than the sum of its proper divisors (2984949020019456).

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

830269222272000 is a wasteful number, since it uses less digits than its factorization.

830269222272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821 (or 12784 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 830269222272000 in words is "eight hundred thirty trillion, two hundred sixty-nine billion, two hundred twenty-two million, two hundred seventy-two thousand".