830103552000 has 952 divisors, whose sum is σ = 3128811569520. Its totient is φ = 219768422400.

The previous prime is 830103551993. The next prime is 830103552023. The reversal of 830103552000 is 255301038.

830103552000 is a `hidden beast` number, since 8 + 3 + 0 + 103 + 552 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5971967931 + ... + 5971968069.

Almost surely, 2^830103552000 is an apocalyptic number.

830103552000 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 830103552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564405784760).

830103552000 is an abundant number, since it is smaller than the sum of its proper divisors (2298708017520).

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

830103552000 is an frugal number, since it uses more digits than its factorization.

830103552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 830103552000 its reverse (255301038), we get a palindrome (830358853038).

The spelling of 830103552000 in words is "eight hundred thirty billion, one hundred three million, five hundred fifty-two thousand".