82633229952000 has 2112 divisors, whose sum is σ = 345667642145280. Its totient is φ = 17367662592000.

The previous prime is 82633229951983. The next prime is 82633229952023. The reversal of 82633229952000 is 25992233628.

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, 87814271530 + ... + 87814272470.

Almost surely, 2^{82633229952000} is an apocalyptic number.

82633229952000 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 82633229952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172833821072640).

82633229952000 is an abundant number, since it is smaller than the sum of its proper divisors (263034412193280).

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

82633229952000 is a wasteful number, since it uses less digits than its factorization.

82633229952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 82633229952000 in words is "eighty-two trillion, six hundred thirty-three billion, two hundred twenty-nine million, nine hundred fifty-two thousand".