83738821000 has 128 divisors (see below), whose sum is σ = 207727752960. Its totient is φ = 31486848000.

The previous prime is 83738820989. The next prime is 83738821003. The reversal of 83738821000 is 12883738.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (83738821003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16708495 + ... + 16713505.

It is an arithmetic number, because the mean of its divisors is an integer number (1622873070).

Almost surely, 2^83738821000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83738821000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103863876480).

83738821000 is an abundant number, since it is smaller than the sum of its proper divisors (123988931960).

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

83738821000 is a wasteful number, since it uses less digits than its factorization.

83738821000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 83738821000 in words is "eighty-three billion, seven hundred thirty-eight million, eight hundred twenty-one thousand".