83036772000 has 2304 divisors, whose sum is σ = 406567848960. Its totient is φ = 16257024000.

The previous prime is 83036771921. The next prime is 83036772023. The reversal of 83036772000 is 27763038.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1169531965 + ... + 1169532035.

It is an arithmetic number, because the mean of its divisors is an integer number (176461740).

Almost surely, 2^83036772000 is an apocalyptic number.

83036772000 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 83036772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203283924480).

83036772000 is an abundant number, since it is smaller than the sum of its proper divisors (323531076960).

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

83036772000 is a wasteful number, since it uses less digits than its factorization.

83036772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 83036772000 in words is "eighty-three billion, thirty-six million, seven hundred seventy-two thousand".