83773509120 has 960 divisors, whose sum is σ = 351961758720. Its totient is φ = 18499829760.

The previous prime is 83773509107. The next prime is 83773509173. The reversal of 83773509120 is 2190537738.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 813334989 + ... + 813335091.

It is an arithmetic number, because the mean of its divisors is an integer number (366626832).

Almost surely, 2^83773509120 is an apocalyptic number.

83773509120 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 83773509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175980879360).

83773509120 is an abundant number, since it is smaller than the sum of its proper divisors (268188249600).

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

83773509120 is a wasteful number, since it uses less digits than its factorization.

83773509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 83773509120 in words is "eighty-three billion, seven hundred seventy-three million, five hundred nine thousand, one hundred twenty".