83925324000 has 576 divisors, whose sum is σ = 349639984512. Its totient is φ = 18662400000.

The previous prime is 83925323957. The next prime is 83925324001. The reversal of 83925324000 is 42352938.

83925324000 is a `hidden beast` number, since 83 + 9 + 2 + 532 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83925324001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9319500 + ... + 9328500.

It is an arithmetic number, because the mean of its divisors is an integer number (607013862).

Almost surely, 2^83925324000 is an apocalyptic number.

83925324000 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 83925324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174819992256).

83925324000 is an abundant number, since it is smaller than the sum of its proper divisors (265714660512).

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

83925324000 is a wasteful number, since it uses less digits than its factorization.

83925324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9076 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 83925324000 its reverse (42352938), we get a palindrome (83967676938).

The spelling of 83925324000 in words is "eighty-three billion, nine hundred twenty-five million, three hundred twenty-four thousand".