83125201920 has 352 divisors, whose sum is σ = 282535128000. Its totient is φ = 20786970624.

The previous prime is 83125201891. The next prime is 83125201967. The reversal of 83125201920 is 2910252138.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117242526 + ... + 117243234.

Almost surely, 2^83125201920 is an apocalyptic number.

83125201920 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 83125201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141267564000).

83125201920 is an abundant number, since it is smaller than the sum of its proper divisors (199409926080).

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

83125201920 is a wasteful number, since it uses less digits than its factorization.

83125201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 83125201920 in words is "eighty-three billion, one hundred twenty-five million, two hundred one thousand, nine hundred twenty".