83425183920 has 960 divisors, whose sum is σ = 335622268800. Its totient is φ = 18373017600.

The previous prime is 83425183867. The next prime is 83425183939. The reversal of 83425183920 is 2938152438.

83425183920 is a `hidden beast` number, since 8 + 3 + 4 + 251 + 8 + 392 + 0 = 666.

It is a super-2 number, since 2×83425183920² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 466062391 + ... + 466062569.

It is an arithmetic number, because the mean of its divisors is an integer number (349606530).

Almost surely, 2^83425183920 is an apocalyptic number.

83425183920 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 83425183920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167811134400).

83425183920 is an abundant number, since it is smaller than the sum of its proper divisors (252197084880).

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

83425183920 is a wasteful number, since it uses less digits than its factorization.

83425183920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

It can be divided in two parts, 8342518 and 3920, that added together give a palindrome (8346438).

The spelling of 83425183920 in words is "eighty-three billion, four hundred twenty-five million, one hundred eighty-three thousand, nine hundred twenty".