83797441920 has 1024 divisors, whose sum is σ = 332418816000. Its totient is φ = 20101644288.

The previous prime is 83797441909. The next prime is 83797441933. The reversal of 83797441920 is 2914479738.

It is a super-2 number, since 2×83797441920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 611660092 + ... + 611660228.

It is an arithmetic number, because the mean of its divisors is an integer number (324627750).

Almost surely, 2^83797441920 is an apocalyptic number.

83797441920 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 83797441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166209408000).

83797441920 is an abundant number, since it is smaller than the sum of its proper divisors (248621374080).

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

83797441920 is a wasteful number, since it uses less digits than its factorization.

83797441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 83797441920 in words is "eighty-three billion, seven hundred ninety-seven million, four hundred forty-one thousand, nine hundred twenty".