829151730000 has 600 divisors, whose sum is σ = 3265430927616. Its totient is φ = 194515200000.

The previous prime is 829151729999. The next prime is 829151730019. The reversal of 829151730000 is 37151928.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30676492 + ... + 30703508.

Almost surely, 2^829151730000 is an apocalyptic number.

829151730000 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 829151730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632715463808).

829151730000 is an abundant number, since it is smaller than the sum of its proper divisors (2436279197616).

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

829151730000 is a wasteful number, since it uses less digits than its factorization.

829151730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27093 (or 27069 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 829151730000 its reverse (37151928), we get a palindrome (829188881928).

The spelling of 829151730000 in words is "eight hundred twenty-nine billion, one hundred fifty-one million, seven hundred thirty thousand".