83211192000 has 1344 divisors, whose sum is σ = 342554234880. Its totient is φ = 19740672000.

The previous prime is 83211191993. The next prime is 83211192013. The reversal of 83211192000 is 29111238.

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 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, 1935143979 + ... + 1935144021.

Almost surely, 2^83211192000 is an apocalyptic number.

83211192000 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 83211192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171277117440).

83211192000 is an abundant number, since it is smaller than the sum of its proper divisors (259343042880).

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

83211192000 is a wasteful number, since it uses less digits than its factorization.

83211192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 83211192000 in words is "eighty-three billion, two hundred eleven million, one hundred ninety-two thousand".